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SLMath Summer School Event
conference
23.06.25 04.07.25

SLMath Summer School: New perspectives on discriminants and their applications

This summer school will offer a hands-on introduction to discriminants, with a view towards modern applications. Discriminants are classical objects in computational algebraic geometry, and their importance is hard to overstate. For any parametrically defined algebraic or geometric problem, the discriminant captures parameter values for which the solution to the problem changes qualitatively.

Starting from the basics of computational algebraic geometry and toric geometry, the school will gently introduce participants to the foundations of discriminants. A particular emphasis will be put on computing discriminants of polynomial systems using computer algebra software. Then, we will dive into three applications of discriminants: algebraic statistics, geometric modeling, and particle physics. Here, discriminants contribute to the study of maximum likelihood estimation, to finding practical parametrizations of geometric objects, and to computations of scattering amplitudes.

We will explain recently discovered unexpected connections between these three applications. In addition to lectures, the summer school will have daily collaborative exercise sessions which will be guided by the teaching assistants and will include software demonstrations.

Registration is closed.

WARNING: Please be wary if a company directly contacts you regarding payment for accommodation in Leipzig: this is fraud / phishing. The communication and organisation of this school is carried out exclusively by staff of the MPI MiS.

Financial support provided by the US National Science Foundation and the academic sponsoring institutions of the Simons Laufer Mathematical Sciences Institute, Berkeley, CA:

logo Simons Laufer mathematical sciences institute

Program

Participants

Michela Barbieri

University College London

Barbara Betti

Max Planck Institute MiS Leipzig

Evans Boadi

SUNY, Buffalo

Viktoriia Borovik

MPI MiS Leipzig

Veronica Calvo Cortes

MPI MiS Leipzig

Nathaniel Collins

Colorado State University

Adrian Cook

University of Edinburgh

Shelby Cox

MPI MiS

Daniel Dale

Texas A & M University

Kristen Dawson

San Francisco State University

Claire De Korte

University of Oxford

Gael Druez

École Normale Supérieure de Rennes (ENS)

Eliana Duarte

University of Porto

Aviva Englander

University of Wisconsin

Joan Ferrer Rodríguez

University of Copenhagen

Bella Finkel

University of Wisconsin

Hannah Friedman

University of California, Berkeley

Yaoying Fu

Boston College

Edern Gillot

Sorbonne Université

Atahan Haznedar

University of Copenhagen

Oskar Henriksson

University of Copenhagen

Harry Robert Hiatt

University of Sydney

Anna Hofer

Otto von Guericke University Magdeburg

Serkan Hoşten

San Francisco State University

Yue Jiao

Beihang University

Nidhi Kaihnsa

University of Copenhagen

Kim Lukas Kiehn

KTH Stockholm

Joris Koefler

MPI MIS

Jeffrey Kornhauser

CUNY Graduate Center

Serhii Koval

Atlantic Association for Research in the Mathematical Sciences (AARMS)

Vadym Kurylenko

OvGU Magdeburg

Nataliia Kushnerchuk

Aalto University

Liam Lawson

University of California, Santa Cruz

Federico Lazzeri

KTH Royal Institute of Technology

Ningyi Li

Universiteit Leiden

Bowen Li

University of Illinois at Urbana-Champaign

Jiayi Li

Max Planck Institute

Yuqing (Erica) Liu

University of Waterloo

Rourou Ma

Max-Planck Institute for Physics/ University of Science and Technology of China

Giacomo Maletto

KTH Royal Institute of Technology

Lucas Michel

University of Liège

Alexander Milner

The University of Edinburgh

Rafael Mohr

Inria Saclay

Alessio Moscariello

University of Graz

Yulia Mukhina

École Polytechnique

Elke Neuhaus

MPI MiS

Niclas Niederdrenk

Otto-von-Guericke-Universität Magdeburg

Janike Oldekop

TU Berlin

Niharika Paul

MPI MIS

Dmitrii Pavlov

TU Dresden

Anaëlle Pfister

MPI MiS

Ludovico Piazza

Università di Pisa

Vladislav Pokidkin

HSE University

Irem Portakal

Max Planck Institute for Mathematics in the Sciences

Smita Rajan

UC Berkeley

Lakshmi Ramesh

Universität Bielefeld

Vincenzo Reda

Trinity College Dublin

Bernhard Reinke

Aix-Marseille University

Jessica Renz

University of Bergen

Nikolas Rieke

Technische Universität Braunschweig

Joseph Rogge

University of Washington

Andrea Rosana

SISSA

Anandi Roy

MPI CBG, Dresden

Naufil Sakran

Tulane University

Sarah Schott

New Mexico State University

Bernd Sturmfels

MPI MiS, Leipzig

Chi-en Amy Tai

University of Waterloo

Máté Telek

MPI MiS Leipzig

Simon Telen

Max Planck Institute for Mathematics in the Sciences

Katherine Tung

Harvard University

Nathaniel Vaduthala

Tulane University

Christof Vermeersch

KU Leuven

Raluca Vlad

Brown University

Ada Wang

Harvard University

Julian Weigert

MPI MiS

Maximilian Wiesmann

MPI MiS, Leipzig

Nico Wolf

HTW Berlin

Teresa Yu

University of Michigan

Bailee Zacovic

University of Michigan

Naïm Zenaïdi

Université de Liège

Alexander Zenkovich

Université Paris Cité

Scientific Organizers

Eliana Duarte

University of Porto

Serkan Hoşten

San Francisco State University

Simon Telen

Max Planck Institute for Mathematics in the Sciences

Teaching assistants

Janike Oldekop

Technical University Berlin

Raluca Vlad

Brown University

Maximilian Wiesmann

Max Planck Institute for Mathematics in the Sciences

Administrative Contact

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Mirke Olschewski

Max Planck Institute for Mathematics in the Sciences Contact via Mail