Home /  Algebraic and Analytic Methods in Combinatorics

Workshop

Algebraic and Analytic Methods in Combinatorics March 17, 2025 - March 21, 2025
Registration Deadline: March 21, 2025 7 days from now
To apply for Funding you must register by: December 10, 2024 3 months ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium, Online/Virtual, Front Courtyard, 2nd Floor Deck
Organizers Vida Dujmovic (Unversity of Ottawa), János Pach (Renyi Institute of Mathematics), Andrew Suk (University of California, San Diego), LEAD Yufei Zhao (Massachusetts Institute of Technology)
Speaker(s)

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Description
Image
A degree 7 curve passing through 35 points in the plane
Many exciting breakthroughs in combinatorics involve innovative applications of techniques from a wide range of areas such as harmonic analysis, polynomial and linear algebraic methods, spectral graph theory, and representation theory. This workshop will present recent developments in this area and facilitate discussions of research problems. Download PDF flyer to share with your department, colleagues, or network Bibliography
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • extremal combinatorics

  • extremal graph theory

  • probabilistic combinatorics

  • discrete geometry

  • additive combinatorics

  • combinatorial geometry

  • incidence geometry

  • arithmetic progressions

  • Discrete analysis

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

All are welcome to apply for funding, including students and recent PhDs. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Mar 17, 2025
Monday
09:15 AM - 09:30 AM
  Welcome to SLMath
09:30 AM - 10:30 AM
  The induced matchings behind some things
Cosmin Pohoata (Emory University)
10:30 AM - 11:00 AM
  Morning Break
11:00 AM - 12:00 PM
  Lower bounds for incidences
Alex Cohen (Massachusetts Institute of Technology)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Expanding polynomials and the Elekes-Szabó problem using proximity
Joshua Zahl (University of British Columbia)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Real polynomial partitioning
Hung-Hsun Yu (Princeton University)
Mar 18, 2025
Tuesday
09:30 AM - 10:30 AM
  Non-averaging sets
Dmitrii Zakharov (Massachusetts Institute of Technology)
10:30 AM - 11:00 AM
  Morning Break
11:00 AM - 12:00 PM
  New Bounds for the Furstenberg-Sarkozy Theorem
Mehtaab Sawhney (Columbia University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Reflection groups in extremal graph theory
David Conlon (California Institute of Technology)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  On Zarankiewicz's Problem for Intersection Hypergraphs of Geometric Object
Chaya Keller (Ariel University)
04:30 PM - 06:30 PM
  Reception
Mar 19, 2025
Wednesday
09:30 AM - 10:30 AM
  Integer tilings
Rachel Greenfeld (Northwestern University)
10:30 AM - 11:00 AM
  Morning Break
11:00 AM - 12:00 PM
  Integer distance sets
Sarah Peluse (Stanford University)
Mar 20, 2025
Thursday
09:30 AM - 10:30 AM
  Independence in random graphs
Jacob Fox (Stanford University)
10:30 AM - 10:40 AM
  Group Photo
10:40 AM - 11:00 AM
  Morning Break
11:00 AM - 12:00 PM
  Counting perfect matchings in dense regular bipartite graphs
Frederick Manners (University of California, San Diego)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Discrepancy of graphs and hypergraphs
Istvan Tomon (University of Umeå)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Burling graphs and their generalizations
Bartosz Walczak (Jagiellonian University)
Mar 21, 2025
Friday
09:30 AM - 10:30 AM
  Independent Sets in H-free Hypergraphs
Xiaoyu He (Georgia Institute of Technology)
10:30 AM - 11:00 AM
  Morning Break
11:00 AM - 12:00 PM
  Pentagons in triple systems
Dhruv Mubayi (University of Illinois, Chicago)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Sums of algebraic dilates
Jeck Lim (California Institute of Technology)
03:00 PM - 03:30 PM
  Afternoon Tea