Metric Algebraic Geometry
June 22 - June 26, 2026
In the early 19th century, algebraic and differential geometry formed a unified field, with geometers investigating intrinsic properties of curves and surfaces—such as curvature, singularities, arc lengths, and defining equations—often through metric and analytic techniques. Many important varieties were defined via distances and angular relationships. By the 20th century, these disciplines had split and are nowadays developed along distinct lines.
However, the rise of data-driven applications in the 21st century—spanning machine learning, tensor methods, computer vision, and geometric statistics—has sparked a renewed need for integration. This motivates Metric Algebraic Geometry, a new framework that blends ideas and techniques from algebraic, differential, metric, and random geometry.
The goal of this workshop is to explore foundational questions in real and complex algebraic geometry from a metric and probabilistic perspective, motivated by applications.
Seminars Scroll to the next upcoming seminar
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Jose I. Rodriguez: Rigid homotopy methods for certified sampling of algebraic varieties: a Waring rank complexity model June 22 10:15 - 11:00 -
Anna Seigal: Dimensionality reduction via eigenvectors of tensors June 22 11:00 - 11:45 Anna Seigal: Dimensionality reduction via eigenvectors of tensors
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Mireille Boutin: Solving Nearly Singular Systems of Polynomial Equations with Noisy Coefficients June 22 13:00 - 13:45 Mireille Boutin: Solving Nearly Singular Systems of Polynomial Equations with Noisy Coefficients
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Lightning Talks June 22 14:00 - 15:00 Lightning Talks
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Lightning Talks June 22 15:30 - 17:00 Lightning Talks
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Jan Draisma: Learning the continuous symmetries of a variety from noisy samples June 23 09:00 - 09:45 Jan Draisma: Learning the continuous symmetries of a variety from noisy samples
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Robert Berman: Polystability thresholds vs log canonical thresholds on Fano manifolds June 23 09:45 - 10:30 Robert Berman: Polystability thresholds vs log canonical thresholds on Fano manifolds
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Michele Ancona: Harnack hypersurfaces June 23 11:00 - 11:45 Michele Ancona: Harnack hypersurfaces
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Damien Gayet: TBA June 23 14:00 - 14:45 Damien Gayet: TBA
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Martina Scolamiero: TBA June 23 14:45 - 15:30 Martina Scolamiero: TBA
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Ujué Etayo: Probabilistic discretizations of algebraic varieties via determinantal point processes June 23 16:00 - 16:45 Ujué Etayo: Probabilistic discretizations of algebraic varieties via determinantal point processes
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Joe Kileel: Covering numbers and norming sets of real algebraic varieties June 24 09:00 - 09:45 Joe Kileel: Covering numbers and norming sets of real algebraic varieties
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Zehua Lai: TBA June 24 09:45 - 10:30 Zehua Lai: TBA
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Vahid Shahverdi: When Curvature Counts Critical Points June 24 11:00 - 11:45 Vahid Shahverdi: When Curvature Counts Critical Points
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Simon Telen: Reciprocal A-determinants June 25 09:00 - 09:45 Simon Telen: Reciprocal A-determinants
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Hannah Friedman: TBA June 25 09:45 - 10:30 Hannah Friedman: TBA
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Liam Solus: TBA June 25 11:00 - 11:45 Liam Solus: TBA
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Kaie Kubjas: Geometry of low nonnegative rank matrix completion June 25 14:00 - 14:45 Kaie Kubjas: Geometry of low nonnegative rank matrix completion
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Luca Sodomaco: Distance polynomials and characteristic polynomials of tensors June 25 14:45 - 15:30 Luca Sodomaco: Distance polynomials and characteristic polynomials of tensors
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Chiara Meroni: TBA June 25 16:00 - 16:45 Chiara Meroni: TBA
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Alessandro Oneto: Hadamard ranks of algebraic varieties June 26 09:00 - 09:45 Alessandro Oneto: Hadamard ranks of algebraic varieties
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Andrea Rosana: TBA June 26 09:45 - 10:30 Andrea Rosana: TBA
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Emil Horobet: Distance polynomials and discriminants June 26 11:00 - 11:45 Emil Horobet: Distance polynomials and discriminants
Recordings
Participants
| Name | University | Country | Arrival and Departure |
|---|---|---|---|
| Michele Ancona | University: Université Côte d'Azur | Country: France | Arrival and Departure: |
| Dario Antolini | University: Università di Trento | Country: Italy | Arrival and Departure: |
| Robert Berman | University: Chalmers University of Technology | Country: Sweden | Arrival and Departure: |
| Mireille Boutin | University: Eindhoven University of Technology | Country: Netherlands | Arrival and Departure: |
| Paul Breiding | University: University of Osnabrück | Country: Germany | Arrival and Departure: |
| Yueqi Cao | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: |
| Lorenzo Cecchi | University: Scuola Internazionale Superiore di Studi Avanzati | Country: Italy | Arrival and Departure: |
| Erin Connelly | University: University of Osnabrück | Country: Germany | Arrival and Departure: |
| Sandra Di Rocco | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: |
| Jan Draisma | University: University of Bern | Country: Switzerland | Arrival and Departure: |
| Sofía Errázuriz Muñoz | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: |
| Ujué Etayo | University: CUNEF Universidad | Country: Spain | Arrival and Departure: |
| Bella Finkel | University: University of Wisconsin-Madison | Country: United States | Arrival and Departure: |
| Hannah Friedman | University: University of California Berkeley | Country: United States | Arrival and Departure: |
| Damien Gayet | University: Université Grenoble Alpes | Country: France | Arrival and Departure: |
| Emil Horobet | University: Sapientia Hungarian University of Transylvania | Country: Romania | Arrival and Departure: |
| Petr Hruby | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: |
| Joe Kileel | University: The University of Texas at Austin | Country: United States | Arrival and Departure: |
| Kathlén Kohn | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: |
| Kaie Kubjas | University: Aalto University | Country: Finland | Arrival and Departure: |
| Zehua Lai | University: The University of Texas at Austin | Country: United States | Arrival and Departure: |
| Antonio Lerario | University: Scuola Internazionale Superiore di Studi Avanzati | Country: Italy | Arrival and Departure: |
| Giacomo Maletto | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: |
| Giovanni Luca Marchetti | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: |
| Chiara Meroni | University: ETH-ITS Zurich | Country: Switzerland | Arrival and Departure: |
| Lilja Metsälampi | University: Aalto University | Country: Finland | Arrival and Departure: |
| Marco Morosin | University: Eindhoven University of Technology | Country: Netherlands | Arrival and Departure: |
| Alessandro Oneto | University: Università di Trento | Country: Italy | Arrival and Departure: |
| Jose Rodriguez | University: University of Wisconsin-Madison | Country: United States | Arrival and Departure: |
| Andrea Rosana | University: Max Planck Institute for Mathematics in the Sciences Leipzig | Country: Germany | Arrival and Departure: |
| Nicolà Schnieper | University: University of Bern | Country: Switzerland | Arrival and Departure: |
| Martina Scolamiero | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: |
| Anna Seigal | University: Harvard University | Country: United States | Arrival and Departure: |
| Vahid Shahverdi | University: KTH Royal Institute of Technology & Umeå University (2026) | Country: Sweden | Arrival and Departure: |
| Luca Sodomaco | University: Max Planck Institute for Mathematics in the Sciences Leipzig | Country: Germany | Arrival and Departure: |
| Liam Solus | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: |
| Bernd Sturmfels | University: Max Planck Institute for Mathematics in the Sciences Leipzig | Country: Germany | Arrival and Departure: |
| Svala Sverrisdottir | University: University of California Berkeley | Country: United States | Arrival and Departure: |
| Simon Telen | University: Max Planck Institute for Mathematics in the Sciences Leipzig | Country: Germany | Arrival and Departure: |