Moduli and Algebraic Cycles
August 30 - December 10, 2021
The aim of this program is to explore central questions related to moduli spaces, algebraic cycles, and enumerative geometry. These are subjects at the very heart of geometry, with origins in the Italian and German schools of algebraic geometry from the 19th century. But they are also closely connected with modern developments such as the mathematics of string theory and the theory of motives.
The notions of cycles and moduli are intertwined in many subtle ways, often by means of various cohomology theories for algebraic varieties, or the geometry of period domains. One example is Deligne’s theorem about Hodge cycles on abelian varieties, which is perhaps the strongest known result in the direction of the Hodge conjecture, and whose proof uses the moduli theory of abelian varieties. As another example, the recent proof by Charles (and Lieblich-Maulik-Snowden) of the Tate conjecture for K3 surfaces over finite fields passes via the moduli theory of K3 surfaces.
We expect some specific focus areas of the program to be tautological classes, logarithmic geometry, moduli spaces of sheaves, hyperkähler manifolds, and rationality questions.
During the program, there will be two workshops with thematically focused talks:
Participation in the program is by invitation only.
Seminars Scroll to the next upcoming seminar
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Blown-up toric surfaces with non-polyhedral effective cone and applications to moduli spaces August 31 15:00 - 16:00 -
Degenerations of Hilbert schemes and relative VGIT September 02 13:00 - 14:00 Degenerations of Hilbert schemes and relative VGIT
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Variation of stable birational type and bounds for complete intersections September 02 14:30 - 15:30 Variation of stable birational type and bounds for complete intersections
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Generically finite Prym maps September 07 13:15 - 14:15 Generically finite Prym maps
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Nonabelian DT theory from abelian DT theory September 07 14:30 - 15:30 Nonabelian DT theory from abelian DT theory
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Blowup formulas for virtual sheaf-theoretic invariants on projective surfaces September 09 14:00 - 15:00 Blowup formulas for virtual sheaf-theoretic invariants on projective surfaces
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Elliptic K3 surfaces: monodromy versus Shimada strata September 09 15:30 - 16:30 Elliptic K3 surfaces: monodromy versus Shimada strata
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The integral Chow ring of the stack of stable 1-pointed curves of genus two September 14 13:15 - 14:15 The integral Chow ring of the stack of stable 1-pointed curves of genus two
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The local structure and coherent completeness of algebraic stacks September 14 14:30 - 15:30 The local structure and coherent completeness of algebraic stacks
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The degree of algebraic cycles on hypersurfaces September 16 14:00 - 15:00 The degree of algebraic cycles on hypersurfaces
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On the cohomology of moduli spaces of stable pointed curves: genus 4 and small n, and the vanishing of H^7 and H^9 September 16 15:30 - 16:30 On the cohomology of moduli spaces of stable pointed curves: genus 4 and small n, and the vanishing of H^7 and H^9
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Searching for the impossible Azumaya algebra September 21 13:15 - 14:15 Searching for the impossible Azumaya algebra
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Smooth Hilbert schemes, a classification. September 21 14:30 - 15:30 Smooth Hilbert schemes, a classification.
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Lefschetz theorems via localization September 23 14:00 - 15:00 Lefschetz theorems via localization
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Degeneration of spectral sequences and formality of DG algebras associated to Lagrangians in hyperkähler varieties September 23 15:30 - 16:30 Degeneration of spectral sequences and formality of DG algebras associated to Lagrangians in hyperkähler varieties
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Nodal quintic surfaces and lines on cubic fourfolds September 28 13:15 - 14:15 Nodal quintic surfaces and lines on cubic fourfolds
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A note on Hilbert schemes of points of K3 surfaces September 28 14:30 - 15:30 A note on Hilbert schemes of points of K3 surfaces
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Higher Abel—Jacobi invariants of torsion cycles modulo algebraic equivalence September 30 14:00 - 15:00 Higher Abel—Jacobi invariants of torsion cycles modulo algebraic equivalence
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A computation of Sym^2(Pic(Hbar_g)) September 30 15:30 - 16:30 A computation of Sym^2(Pic(Hbar_g))
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Theta groups and projective models of HK varieties October 05 13:15 - 14:15 Theta groups and projective models of HK varieties
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Donaldson-Thomas theory of the quantum Fermat quintic October 05 14:30 - 15:30 Donaldson-Thomas theory of the quantum Fermat quintic
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Koszul modules in algebraic geometry October 07 14:00 - 15:00 Koszul modules in algebraic geometry
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Logarithmic resolution of singularities via multi-weighted blow-ups October 07 15:30 - 16:30 Logarithmic resolution of singularities via multi-weighted blow-ups
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Antisymplectic involutions on projective hyperkähler manifolds October 08 14:00 - 15:00 Antisymplectic involutions on projective hyperkähler manifolds
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On the algebraicity of the Hodge locus October 12 13:15 - 14:15 On the algebraicity of the Hodge locus
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Product identities in the Chow rings of hyperkähler manifolds October 12 14:30 - 15:30 Product identities in the Chow rings of hyperkähler manifolds
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Stable irrationality of a (2,3)-complete intersection fourfold October 14 10:00 - 11:00 Stable irrationality of a (2,3)-complete intersection fourfold
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An arithmetic valuative criterion for properness for tame stacks, and applications October 14 14:00 - 15:00 An arithmetic valuative criterion for properness for tame stacks, and applications
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The integral Chow ring of the stack of hyperelliptic Weierstrass points October 14 15:30 - 16:30 The integral Chow ring of the stack of hyperelliptic Weierstrass points
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Workshop: Moduli and periods for Calabi-Yau threefolds October 18 09:45 - 10:45 Workshop: Moduli and periods for Calabi-Yau threefolds
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Workshop: Algebraic cycles on Gushel-Mukai varieties October 18 11:00 - 12:00 Workshop: Algebraic cycles on Gushel-Mukai varieties
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Workshop: Curves of genus three and modular forms October 18 13:30 - 14:30 Workshop: Curves of genus three and modular forms
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Workshop: A motivic view on genus zero string amplitudes October 18 15:00 - 16:00 Workshop: A motivic view on genus zero string amplitudes
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Workshop: A non-hypergeometric E-function October 19 09:45 - 10:45 Workshop: A non-hypergeometric E-function
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Workshop: Motives of moduli spaces of Higgs bundles October 19 11:00 - 12:00 Workshop: Motives of moduli spaces of Higgs bundles
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Workshop: On the ring of functions on formal-analytic schemes October 19 13:30 - 14:30 Workshop: On the ring of functions on formal-analytic schemes
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Workshop: Rigid systems: arithmetic aspects October 20 09:45 - 10:45 Workshop: Rigid systems: arithmetic aspects
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Workshop: Anabelian representation of the motivic Galois group October 20 11:00 - 12:00 Workshop: Anabelian representation of the motivic Galois group
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Workshop: Moduli of Galois covers of curves October 20 13:30 - 14:30 Workshop: Moduli of Galois covers of curves
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Workshop: Motivic mirror symmetry for Higgs bundles October 20 15:00 - 16:00 Workshop: Motivic mirror symmetry for Higgs bundles
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Workshop: Low degree Hurwitz stacks in the Grothendieck ring October 21 09:45 - 10:45 Workshop: Low degree Hurwitz stacks in the Grothendieck ring
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Workshop October 21 11:00 - 12:00 Workshop
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Workshop: Stability Conditions and Moduli October 21 13:30 - 14:30 Workshop: Stability Conditions and Moduli
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Workshop: The Ceresa cycle October 21 15:00 - 16:00 Workshop: The Ceresa cycle
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Workshop: Sparsity of Integral Points on Moduli Spaces of Varieties October 22 09:45 - 10:45 Workshop: Sparsity of Integral Points on Moduli Spaces of Varieties
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Workshop: Hodge theory of the Putman-Wieland conjecture October 22 11:00 - 12:00 Workshop: Hodge theory of the Putman-Wieland conjecture
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Workshop October 22 13:30 - 14:30 Workshop
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K-theoretic sheaf counting invariants on C^4 October 26 13:15 - 14:15 K-theoretic sheaf counting invariants on C^4
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Geometry of wall crossings for the Hilbert scheme of skew lines October 26 14:30 - 15:30 Geometry of wall crossings for the Hilbert scheme of skew lines
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Virasoro constraints for moduli spaces of sheaves on surfaces October 28 14:00 - 15:00 Virasoro constraints for moduli spaces of sheaves on surfaces
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Twisted K-theory in motivic homotopy theory October 28 15:30 - 16:30 Twisted K-theory in motivic homotopy theory
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r-Spin Hurwitz numbers via Stable Maps with Divisible Ramification November 02 13:15 - 14:15 r-Spin Hurwitz numbers via Stable Maps with Divisible Ramification
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An alternative way to compute modular forms November 02 14:30 - 15:30 An alternative way to compute modular forms
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Remarks on bundles on hyper-Kahler manifolds November 04 14:00 - 15:00 Remarks on bundles on hyper-Kahler manifolds
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$K_2$ and quantum curves November 04 15:30 - 16:30 $K_2$ and quantum curves
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On the Brauer group of bielliptic surfaces November 09 14:30 - 15:30 On the Brauer group of bielliptic surfaces
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Asymptotic properties of the Ceresa cycle November 10 13:15 - 14:15 Asymptotic properties of the Ceresa cycle
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Algebraic K-theory and projective bundle formula November 11 14:00 - 15:00 Algebraic K-theory and projective bundle formula
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Rational homotopy theory in A1-algebraic topology November 11 15:30 - 16:30 Rational homotopy theory in A1-algebraic topology
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Artin fans, piecewise polynomials and the double ramification cycle November 15 09:45 - 10:45 Artin fans, piecewise polynomials and the double ramification cycle
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Hilbert scheme of points and global singularity theory November 15 11:00 - 12:00 Hilbert scheme of points and global singularity theory
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TBA November 15 13:30 - 14:30 TBA
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TBA November 15 15:00 - 16:00 TBA
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On the Universal Jacobian: algebraic, tropical and logarithmic aspects November 16 09:45 - 10:45 On the Universal Jacobian: algebraic, tropical and logarithmic aspects
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The Chow rings of moduli spaces of elliptic surfaces November 16 11:00 - 12:00 The Chow rings of moduli spaces of elliptic surfaces
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Moduli spaces of stable objects in the Kuznetsov component of cubic threefolds November 16 13:30 - 14:30 Moduli spaces of stable objects in the Kuznetsov component of cubic threefolds
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Motives of Algebraic Stacks November 16 15:00 - 16:00 Motives of Algebraic Stacks
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On logarithmic compactification of stratas of Hodge bundle November 17 09:45 - 10:45 On logarithmic compactification of stratas of Hodge bundle
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Level structures on logarithmic (and tropical) curves November 17 11:00 - 12:00 Level structures on logarithmic (and tropical) curves
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Specialization for the pro-etale fundamental group November 17 13:30 - 14:30 Specialization for the pro-etale fundamental group
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Framed logarithmic curves and the formality conjecture November 17 15:00 - 16:00 Framed logarithmic curves and the formality conjecture
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Geometry of fine compactified Jacobians in genus 1 November 18 09:45 - 10:45 Geometry of fine compactified Jacobians in genus 1
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Compact Kähler manifolds with no projective specialization November 18 11:00 - 12:00 Compact Kähler manifolds with no projective specialization
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Wall-crossing on fine compactified universal Jacobians November 18 13:30 - 14:30 Wall-crossing on fine compactified universal Jacobians
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The birational geometry of M_g: new developments via non-abelian Brill-Noether theory and tropical geometry November 18 15:00 - 16:00 The birational geometry of M_g: new developments via non-abelian Brill-Noether theory and tropical geometry
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Compactifying moduli of pointed projective spaces up to automorphisms November 19 09:45 - 10:45 Compactifying moduli of pointed projective spaces up to automorphisms
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Brauer groups of moduli of hyperelliptic curves and their compactifications November 19 11:00 - 12:00 Brauer groups of moduli of hyperelliptic curves and their compactifications
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TBA November 19 13:30 - 14:30 TBA
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Power sum varieties of quaternary quartics November 23 13:15 - 14:15 Power sum varieties of quaternary quartics
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Uhlenbeck compactification as a Bridgeland moduli space November 23 14:30 - 15:30 Uhlenbeck compactification as a Bridgeland moduli space
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Abelian cycles in the homology of Torelli groups November 25 14:00 - 15:00 Abelian cycles in the homology of Torelli groups
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Graded algebras, projective spectra and blow-ups in derived algebraic geometry November 25 15:30 - 16:30 Graded algebras, projective spectra and blow-ups in derived algebraic geometry
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Refined Riemann-Roch for degenerations of Calabi-Yau manifolds and a mirror symmetry-conjecture November 30 13:15 - 14:15 Refined Riemann-Roch for degenerations of Calabi-Yau manifolds and a mirror symmetry-conjecture
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Functorial intersection theory and moduli spaces of flat vector bundles on curves November 30 14:30 - 15:30 Functorial intersection theory and moduli spaces of flat vector bundles on curves
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Oriented matroids and real toric varieties December 02 14:00 - 15:00 Oriented matroids and real toric varieties
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Endoscopic p-adic modular forms for SL(2) December 02 15:30 - 16:30 Endoscopic p-adic modular forms for SL(2)
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A general blowup-principle for compact support extensions of functors December 07 11:00 - 12:00 A general blowup-principle for compact support extensions of functors
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Motivic cohomology reimagined December 07 13:15 - 14:15 Motivic cohomology reimagined
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Measures of association for algebraic varieties December 09 14:00 - 15:00 Measures of association for algebraic varieties
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Grothendieck–Serre in the quasi-split unramified case December 09 15:30 - 16:30 Grothendieck–Serre in the quasi-split unramified case
Recordings
Participants
| Name | University | Country | Arrival and Departure |
|---|---|---|---|
| Dan Abramovich | University: Brown University | Country: United States | Arrival and Departure: Sep 1 - Oct 24 |
| Piotr Achinger | University: Institute of Mathematics, Warsaw | Country: Poland | Arrival and Departure: Nov 8 - Nov 20 |
| Eric Ahlqvist | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Jarod Alper | University: University of Washington | Country: United States | Arrival and Departure: Aug 30 - Sep 25 |
| Joseph Ayoub | University: University of Zurich | Country: Switzerland | Arrival and Departure: Oct 18 - Oct 21 |
| Arnaud Beauville | University: Université Côte d'Azur | Country: France | Arrival and Departure: Oct 17 - Oct 29 |
| Kaj Behrend | University: University of British Columbia | Country: Canada | Arrival and Departure: Oct 13, Aug 30 - Oct 23, Oct 10 |
| Pieter Belmans (Online) | University: University of Luxembourg | Country: Luxembourg | Arrival and Departure: |
| Gergely Berczi | University: Aarhus University | Country: Denmark | Arrival and Departure: Nov 14 - Nov 19 |
| Jonas Bergström | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Olof Bergvall | University: University of Gävle | Country: Sweden | Arrival and Departure: |
| Aaron Bertram | University: University of Utah | Country: United States | Arrival and Departure: Sep 2 - Nov 20 |
| Rikard Bögvad | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Yohan Brunebarbe | University: Université de Bordeaux | Country: France | Arrival and Departure: Oct 11 - Oct 31 |
| Jim Bryan | University: University of British Columbia | Country: Canada | Arrival and Departure: Aug 30 - Dec 10 |
| Samir Canning | University: ETH Zürich | Country: Switzerland | Arrival and Departure: Nov 6 - Nov 21 |
| Magnus Carlson | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Ana-Maria Castravet | University: University of Versailles Saint-Quentin-en-Yvelines | Country: France | Arrival and Departure: Aug 30, Nov 28 - Sep 17, Dec 3 |
| Kęstutis Česnavičius | University: Université Paris-Saclay | Country: France | Arrival and Departure: Dec 5 - Dec 10 |
| Melody Chan | University: Brown University | Country: United States | Arrival and Departure: Aug 30 - Dec 10 |
| François Charles | University: Orsay University | Country: France | Arrival and Departure: Oct 17 - Oct 23 |
| Qile Chen (Online) | University: Boston College | Country: United States | Arrival and Departure: |
| Simon Cooper | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| David Corwin | University: Massachusetts Institute of Technology | Country: United States | Arrival and Departure: Oct 17 - Oct 25 |
| Ben Davison (Online) | University: University of Edinburgh | Country: United Kingdom | Arrival and Departure: |
| Mark De Cataldo (Online) | University: Stony Brook University | Country: United States | Arrival and Departure: |
| Robin de Jong (Online) | University: Universiteit Leiden | Country: The Netherlands | Arrival and Departure: |
| Sjoerd de Vries | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Neeraj Deshmukh | University: Universität Zürich | Country: Switzerland | Arrival and Departure: Nov 14 - Dec 10 |
| Andrea Di Lorenzo | University: Humboldt-Universität zu Berlin | Country: Germany | Arrival and Departure: Sep 6 - Oct 24 |
| Sandra Di Rocco | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Dan Edidin | University: University of Missouri | Country: United States | Arrival and Departure: Oct 3 - Oct 20 |
| Elden Elmanto | University: Harvard University | Country: United States | Arrival and Departure: Nov 26 - Dec 8 |
| Dennis Eriksson | University: Chalmers / University of Gothenburg | Country: Sweden | Arrival and Departure: Nov 28 - Dec 3 |
| Hélène Esnault | University: Freie Universität Berlin | Country: Germany | Arrival and Departure: Oct 11 - Oct 25 |
| Carel Faber | University: Utrecht University | Country: The Netherlands | Arrival and Departure: Sep 4, Nov 1 - Sep 30, Nov 30 |
| Barbara Fantechi (Online) | University: The International School for Advanced Studies (SISSA) | Country: Italy | Arrival and Departure: |
| Gavril Farkas | University: Humboldt Universität zu Berlin | Country: Germany | Arrival and Departure: Oct 3, Nov 10 - Oct 15, Nov 20 |
| Soheyla Feyzbakhsh (Online) | University: | Country: | Arrival and Departure: |
| Laure Flapan | University: Michigan State University | Country: United States | Arrival and Departure: Oct 4 - Oct 17 |
| Gerard Freixas i Montplet | University: Institut de Mathématiques de Jussieu - Paris Rive Gauche | Country: France | Arrival and Departure: Nov 28 - Dec 3 |
| Javier Fresán | University: École Polytechnique | Country: France | Arrival and Departure: Oct 17 - Oct 23 |
| Wushi Goldring | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Frank Gounelas (Online) | University: University of Göttingen | Country: Germany | Arrival and Departure: |
| Daniel Greb (Online) | University: University of Duisburg-Essen | Country: Germany | Arrival and Departure: |
| Samuel Grushevsky | University: Stony Brook University | Country: United States | Arrival and Departure: Nov 16 - Nov 24 |
| Martin Gulbrandsen | University: University of Stavanger | Country: Norway | Arrival and Departure: Oct 18 - Nov 5 |
| Lukas Gustafsson | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Gabriela Guzman | University: Institute of Mathematics of the Polish Academy of Sciences | Country: Poland | Arrival and Departure: Nov 8 - Nov 20 |
| Richard Hain (Online) | University: Duke University | Country: United States | Arrival and Departure: |
| Louis Hainaut | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Jack Hall (Online) | University: University of Melbourne | Country: Australia | Arrival and Departure: Nov 15 - Dec 10 |
| Lars Halvard Halle | University: University of Bologna | Country: Italy | Arrival and Departure: Aug 30 - Sep 17 |
| Daniel Halpern-Leistner (Online) | University: Cornell University | Country: United States | Arrival and Departure: |
| Isac Hedén | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Jochen Heinloth | University: Universität Duisburg-Essen | Country: Germany | Arrival and Departure: Aug 30 - Nov 19 |
| Jeroen Hekking | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| David Holmes (Online) | University: Universiteit Leiden | Country: The Netherlands | Arrival and Departure: |
| Tim Hosgood | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Victoria Hoskins (Online) | University: Radboud University | Country: The Netherlands | Arrival and Departure: |
| Marc Hoyois (Online) | University: Universität Regensburg | Country: Germany | Arrival and Departure: |
| Zhengning Hu (Online) | University: University of Missouri | Country: United States | Arrival and Departure: |
| Klaus Hulek | University: University of Hannover | Country: Germany | Arrival and Departure: Aug 29 - Oct 9 |
| Daniel Huybrechts | University: University of Bonn | Country: Germany | Arrival and Departure: |
| Ryomei Iwasa | University: University of Copenhagen | Country: Denmark | Arrival and Departure: Nov 1 - Nov 14 |
| Felix Janda (Online) | University: Michigan State University | Country: United States | Arrival and Departure: |
| Ariyan Javanpeykar (Online) | University: Johannes Gutenberg-Universität Mainz | Country: Germany | Arrival and Departure: |
| Christian Johansson | University: Chalmers / University of Gothenburg | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Rolf Källström | University: University of Gävle | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Matt Kerr (Online) | University: Washington University in St. Louis | Country: United States | Arrival and Departure: |
| Adeel Khan (Online) | University: Academia Sinica | Country: Taiwan | Arrival and Departure: |
| Maryam Khaqan | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Frances Kirwan (Online) | University: University of Oxford | Country: United Kingdom | Arrival and Departure: |
| Bruno Klingler | University: Humboldt-Universität zu Berlin | Country: Germany | Arrival and Departure: Oct 10 - Oct 17 |
| János Kollár (Online) | University: Princeton University | Country: United States | Arrival and Departure: |
| Martijn Kool (Online) | University: Utrecht University | Country: The Netherlands | Arrival and Departure: |
| Sándor Kovács (Online) | University: University of Washington | Country: United States | Arrival and Departure: |
| Andrew Kresch | University: University of Zurich | Country: Switzerland | Arrival and Departure: Oct 23 - Dec 5 |
| Nikolas Kuhn | University: Stanford University | Country: United States | Arrival and Departure: Aug 30 - Dec 10 |
| Josefien Kuijper | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Aaron Landesman | University: Harvard University | Country: United States | Arrival and Departure: Oct 14 - Oct 24 |
| Lionel Lang | University: University of Gävle | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Brian Lawrence | University: University of Chicago | Country: United States | Arrival and Departure: Oct 17 - Oct 23 |
| Radu Laza | University: Stony Brook University | Country: United States | Arrival and Departure: Oct 10 - Oct 24 |
| Oliver Leigh | University: Uppsala University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Zhiyuan Li (Online) | University: Fudan University | Country: China | Arrival and Departure: |
| Max Lieblich (Online) | University: University of Washington | Country: United States | Arrival and Departure: |
| Christian Liedtke (Online) | University: Technical University of Munich | Country: Germany | Arrival and Departure: |
| Erik Lindell | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Daniel Litt | University: The University of Georgia | Country: United States | Arrival and Departure: Oct 17 - Oct 23 |
| Wanmin Liu | University: | Country: | Arrival and Departure: Aug 30 - Dec 10 |
| Eduard Looijenga | University: Nederlands Mathematisch Instituut | Country: The Netherlands | Arrival and Departure: Sep 1 - Oct 30 |
| Emanuele Macrí | University: Université Paris-Saclay | Country: France | Arrival and Departure: Oct 7 - Oct 11 |
| Olivier Martin | University: Stony Brook University | Country: United States | Arrival and Departure: Nov 28 - Dec 10 |
| Siddharth Mathur | University: Pontificia Universidad Católica de Chile | Country: Chile | Arrival and Departure: Aug 30 - Dec 10 |
| Boris Mladenov | University: Imperial College London | Country: United Kingdom | Arrival and Departure: Sep 2 - Dec 10 |
| Samouil Molcho | University: The Hebrew University of Jerusalem | Country: Israel | Arrival and Departure: Nov 12 - Nov 20 |
| Ben Moonen | University: Radboud University | Country: The Netherlands | Arrival and Departure: Oct 17 - Oct 22 |
| Johannes Nicaise | University: Imperial College London | Country: United Kingdom | Arrival and Departure: Aug 30 - Sep 30 |
| Georg Oberdieck | University: University of Bonn | Country: Germany | Arrival and Departure: Sep 23 - Sep 30 |
| Kieran O'Grady | University: Sapienza University of Rome | Country: Italy | Arrival and Departure: Oct 2 - Oct 9 |
| Ludvig Olsson | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Claudio Onorati | University: Universita di Roma Tor Vergata | Country: Italy | Arrival and Departure: Nov 1 - Dec 10 |
| Angela Ortega | University: Humboldt Universität zu Berlin | Country: Germany | Arrival and Departure: Aug 30 - Sep 10 |
| John Christian Ottem | University: University of Oslo | Country: Norway | Arrival and Departure: Aug 30 - Dec 10 |
| Nicola Pagani | University: University of Liverpool | Country: United Kingdom | Arrival and Departure: Nov 16 - Nov 28 |
| Matthias Paulsen | University: Leibniz University | Country: Germany | Arrival and Departure: Aug 30 - Dec 10 |
| Sam Payne (Online) | University: University of Texas at Austin | Country: United States | Arrival and Departure: |
| Simon Pepin Lehalleur (Online) | University: Radboud University | Country: The Netherlands | Arrival and Departure: |
| Dan Petersen | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Ragni Piene | University: University of Oslo | Country: Norway | Arrival and Departure: Nov 14 - Nov 20 |
| Roberto Pirisi | University: University of Pisa | Country: Italy | Arrival and Departure: Oct 17, Oct 22 - Nov 14, Nov 19 |
| Aaron Pixton (Online) | University: University of Michigan | Country: United States | Arrival and Departure: |
| Elisa Postinghel (Online) | University: University of Trento | Country: Italy | Arrival and Departure: |
| Ming Hao Quek | University: Brown University | Country: United States | Arrival and Departure: Sep 8 - Dec 6 |
| Kristian Ranestad | University: University of Oslo | Country: Norway | Arrival and Departure: Nov 22 - Nov 25 |
| Martin Raum | University: Chalmers / University of Gothenburg | Country: Sweden | Arrival and Departure: Nov 1 - Dec 10 |
| Jørgen Rennemo (Online) | University: University of Oslo | Country: Norway | Arrival and Departure: |
| Stefan Reppen | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Mohammad Reza Rahmati (Online) | University: Parque de innovacion De La Salle | Country: Mexico | Arrival and Departure: |
| Andrea Ricolfi | University: The International School for Advanced Studies (SISSA) | Country: Italy | Arrival and Departure: Aug 30 - Dec 10 |
| David Rydh | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Anna-Laura Sattelberger | University: Max Planck Institute for Mathematics in the Sciences | Country: Germany | Arrival and Departure: Aug 30 - Dec 10 |
| Luca Schaffler | University: Universita Roma Tre | Country: Italy | Arrival and Departure: Aug 30 - Dec 10 |
| Stefan Schreieder | University: Leibniz University Hannover | Country: Germany | Arrival and Departure: Sep 26 - Oct 9 |
| Vahid Shahverdi | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Boris Shapiro | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Kris Shaw | University: University of Oslo | Country: Norway | Arrival and Departure: Dec 1 - Dec 3 |
| Junliang Shen (Online) | University: Massachusetts Institute of Technology | Country: United States | Arrival and Departure: |
| Evgeny Shinder (Online) | University: University of Sheffield | Country: United Kingdom | Arrival and Departure: |
| Farbod Shokrieh (Online) | University: University of Washington | Country: United States | Arrival and Departure: |
| Bjørn Skauli | University: University of Oslo | Country: Norway | Arrival and Departure: Oct 2, Nov 25 - Oct 23, Dec 3 |
| Roy Skjelnes | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Ernest Specka (Online) | University: ENS de Lyon | Country: France | Arrival and Departure: |
| Fumiaki Suzuki (Online) | University: University of California Los Angeles | Country: United States | Arrival and Departure: |
| Tuomas Tajakka | University: Stockholm University | Country: Sweden | Arrival and Departure: Aug 30 - Dec 10 |
| Mattia Talpo | University: University of Pisa | Country: Italy | Arrival and Departure: Nov 14 - Nov 20 |
| Michael Temkin | University: The Hebrew University of Jerusalem | Country: Israel | Arrival and Departure: Nov 15 - Nov 21 |
| Richard Thomas (Online) | University: Imperial College London | Country: United Kingdom | Arrival and Departure: |
| Sofia Tirabassi | University: Stockholm University | Country: Sweden | Arrival and Departure: Sep 30 - Dec 10 |
| Orsola Tommasi | University: University of Padova | Country: Italy | Arrival and Departure: Nov 8 - Nov 26 |
| Burt Totaro (Online) | University: University of California Los Angeles | Country: United States | Arrival and Departure: |
| Yuri Tschinkel (Online) | University: Courant Institute of Mathematical Sciences | Country: United States | Arrival and Departure: |
| Hsian-Hua Tseng (Online) | University: Ohio State University | Country: United States | Arrival and Departure: |
| Dmitry Vaintrob | University: University of California Berkeley | Country: United States | Arrival and Departure: Nov 10 - Nov 25 |
| Ravi Vakil (Online) | University: Stanford University | Country: United States | Arrival and Departure: |
| Gerard van der Geer | University: University of Amsterdam | Country: The Netherlands | Arrival and Departure: Sep 1 - Oct 31 |
| Srinivas Vasudevan (Online) | University: TIFR, Tata Institute of Fundamental Research | Country: India | Arrival and Departure: |
| Angelo Vistoli | University: Scuola Normale Superiore | Country: Italy | Arrival and Departure: Oct 3 - Oct 30 |
| Filippo Viviani | University: Universita Roma Tre | Country: Italy | Arrival and Departure: Nov 14 - Nov 20 |
| Claire Voisin | University: CNRS - Centre national de la recherche scientifique | Country: France | Arrival and Departure: Nov 14 - Nov 19 |
| Cong Wen (Online) | University: Boston University | Country: United States | Arrival and Departure: |
| Simen Westbye Moe | University: Imperial College London | Country: United Kingdom | Arrival and Departure: Sep 13 - Sep 26 |
| Jonathan Wise (Online) | University: University of Colorado at Boulder | Country: United States | Arrival and Departure: |
| Jaroslaw Wlodarczyk (Online) | University: Purdue University | Country: United States | Arrival and Departure: |
| Chenyang Xu (Online) | University: Massachusetts Institute of Technology | Country: United States | Arrival and Departure: |
| Maria Yakerson | University: ETH Zürich | Country: Switzerland | Arrival and Departure: Oct 25 - Nov 12 |
| Qizheng Yin (Online) | University: Beijing International Center for Mathematical Research | Country: China | Arrival and Departure: |