Full circle: 100 years of the circle method
July 7 - July 11, 2025
It has been almost exactly 100 years since the circle method emerged through early papers of Ramanujan, Hardy and Littlewood.
Since its initial application to the partition function and to Waring’s problem, the method has now established itself as a vital tool sitting at the confluence of arithmetic algebraic geometry, discrete harmonic analysis, and additive combinatorics. The primary goal of this workshop will be to disseminate cutting edge results involving the circle method, in addition to shaping the course of research in the century to come.
Recorded seminars:
Seminars Scroll to the next upcoming seminar
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Trevor Wooley:L^p-sets, Weyl’s inequality, and the circle method July 07 09:30 - 10:30 -
Sarah Peluse:The multilinear circle method” and pointwise ergodic theory July 07 11:00 - 12:00 Sarah Peluse:The multilinear circle method” and pointwise ergodic theory
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Javier Pliego:On Vu’s theorem in Waring’s problem for thinner sequences July 07 14:00 - 14:30 Javier Pliego:On Vu’s theorem in Waring’s problem for thinner sequences
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Mengdi Wang: Quantitative upper bounds for sets lacking specific polynomials July 07 14:30 - 15:00 Mengdi Wang: Quantitative upper bounds for sets lacking specific polynomials
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Kiseok Yeon: An extended Vinogradov’s mean value theorem July 07 15:30 - 16:00 Kiseok Yeon: An extended Vinogradov’s mean value theorem
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Mieke Wessel:Counting pairs of points using the circle method July 07 16:00 - 16:30 Mieke Wessel:Counting pairs of points using the circle method
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Jörg Brüdern: The circle method at work in combinatorial problems: Davenport’s estimates for set addition July 08 09:30 - 10:30 Jörg Brüdern: The circle method at work in combinatorial problems: Davenport’s estimates for set addition
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Junxian Li: The subconvexity problem for Rankin-Selberg L-functions July 08 11:00 - 12:00 Junxian Li: The subconvexity problem for Rankin-Selberg L-functions
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Matthew Northey (Online): On the Hasse principle for complete intersections July 08 14:00 - 14:30 Matthew Northey (Online): On the Hasse principle for complete intersections
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V. Vinay Kumaraswamy: Counting 2×2 integer matrices with given determinant July 08 14:30 - 15:00 V. Vinay Kumaraswamy: Counting 2×2 integer matrices with given determinant
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Ritabrata Munshi: Circle method in the analytic theory of L-functions July 09 09:30 - 10:30 Ritabrata Munshi: Circle method in the analytic theory of L-functions
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Liu JY: Forms in prime variables July 09 11:00 - 12:00 Liu JY: Forms in prime variables
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Simon Rydin Myerson: Systems of many forms with differing degrees July 10 09:30 - 10:30 Simon Rydin Myerson: Systems of many forms with differing degrees
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Efthymios Sofos: Rational points on conic bundles July 10 11:00 - 11:30 Efthymios Sofos: Rational points on conic bundles
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Jakob Glas:Terminality of moduli spaces of curves on low degree hypersurfaces via the circle method I July 10 14:00 - 14:30 Jakob Glas:Terminality of moduli spaces of curves on low degree hypersurfaces via the circle method I
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Matthew Hase-Liu: Terminality of moduli spaces of curves on low degree hypersurfaces via the circle method II July 10 14:30 - 15:00 Matthew Hase-Liu: Terminality of moduli spaces of curves on low degree hypersurfaces via the circle method II
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Victor Wang: Pairs of commuting matrices July 10 15:30 - 16:00 Victor Wang: Pairs of commuting matrices
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Shuntaro Yamagishi: Rational surfaces on low degree hypersurfaces July 10 16:00 - 16:30 Shuntaro Yamagishi: Rational surfaces on low degree hypersurfaces
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Akshat Mudgal: On commuting pairs of matrices July 11 09:30 - 10:30 Akshat Mudgal: On commuting pairs of matrices
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Rainer Dietmann: Systems of cubic forms: the local problem July 11 11:00 - 12:00 Rainer Dietmann: Systems of cubic forms: the local problem
Recordings
Participants
| Name | University | Country | Arrival and Departure |
|---|---|---|---|
| Christian Bernert | University: Leibniz University Hannover | Country: Germany | Arrival and Departure: |
| Kirsti Biggs | University: Uppsala University | Country: Sweden | Arrival and Departure: |
| Thomas Bloom | University: University of Manchester | Country: United Kingdom | Arrival and Departure: |
| Dante Bonolis | University: Duke university | Country: United States | Arrival and Departure: |
| Julia Brandes | University: University of Gothenburg and Chalmers University of Technology | Country: Sweden | Arrival and Departure: |
| Tim Browning | University: Institute of Science and Technology Austria | Country: Austria | Arrival and Departure: |
| Jörg Brüdern | University: Universität Göttingen | Country: Germany | Arrival and Departure: |
| Rainer Dietmann | University: Royal Holloway, University of London | Country: United Kingdom | Arrival and Departure: |
| Daniel Flores | University: Purdue University | Country: United States | Arrival and Departure: |
| Jakob Glas | University: Leibniz Universität Hannover | Country: Germany | Arrival and Departure: |
| Anouk Greven | University: Universität Göttingen | Country: Germany | Arrival and Departure: |
| Matthew Hase-Liu | University: Columbia University | Country: United States | Arrival and Departure: |
| Rok Havlas | University: University of Göttingen | Country: Germany | Arrival and Departure: |
| Philip Holdridge | University: University of Warwick | Country: United Kingdom | Arrival and Departure: |
| Vinay Kumaraswamy | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: |
| Junxian Li | University: University of California, Davis | Country: United States | Arrival and Departure: |
| Jianya Liu | University: Shandong University | Country: China | Arrival and Departure: |
| Akshat Mudgal | University: University of Warwick | Country: United Kingdom | Arrival and Departure: |
| Ritabrata Munshi | University: Indian Statistical Institute | Country: India | Arrival and Departure: |
| Matthew Northey (ONLINE) | University: Durham university | Country: United Kingdom | Arrival and Departure: |
| Scott Parsell (Online) | University: West Chester University | Country: United States | Arrival and Departure: |
| Sarah Peluse | University: Stanford University | Country: United States | Arrival and Departure: |
| Javier Pliego | University: Universita degli studi di Genova | Country: Italy | Arrival and Departure: |
| Sean Prendiville | University: Lancaster University | Country: United Kingdom | Arrival and Departure: |
| Olivier Robert | University: Jean Monnet University | Country: France | Arrival and Departure: |
| Simon Rydin Myerson | University: Chalmers University | Country: Sweden | Arrival and Departure: |
| Efthymios Sofos | University: University of Glasgow | Country: United Kingdom | Arrival and Departure: |
| Anna Theorin Johansson | University: Chalmers University of Technology | Country: Sweden | Arrival and Departure: |
| Pankaj Vishe | University: Durham University | Country: United Kingdom | Arrival and Departure: |
| Mengdi Wang | University: École polytechnique fédérale de Lausanne | Country: Switzerland | Arrival and Departure: |
| Victor Wang | University: Institute of Science and Technology Austria | Country: Austria | Arrival and Departure: |
| Mieke Wessel | University: Göttingen University | Country: Germany | Arrival and Departure: |
| Trevor Wooley | University: Purdue University | Country: United States | Arrival and Departure: |
| Lena Wurzinger | University: Institute of Science and Technology Austria | Country: Austria | Arrival and Departure: |
| Sizhe Xie | University: Shandong University | Country: China | Arrival and Departure: |
| Shuntaro Yamagishi | University: Institute of Science and Technology Austria | Country: Austria | Arrival and Departure: |
| Kiseok Yeon | University: University of California, Davis | Country: United states | Arrival and Departure: |
| Lilu Zhao | University: University of Science and Technology of China | Country: China | Arrival and Departure: |