Papers for Euler Circle combinatorics, Fall 2025
Aarav Shah:
Pattern avoidance in permutations
Abdul Rafay:
Pattern avoidance in permutations
Aeris Chang:
Topological combinatorics
Alexander Braun:
Rational Catalan numbers
Amrit Kandasamy, Neil Iyer, and Aleksei Lopatin:
Catalan objects
Aniket Mangalampalli:
Linear programming
Anshul Mantri:
Combinatorial designs
Benjamin Rosen:
Winning probabilities in matroid bingo
Channing Yang:
q
-analogues
Dallas Anderson:
An exploration of pattern avoidance in permutations
Daniel Koo:
Pattern avoidance in permutations and related structures
Hannah Wang:
Ehrhart polynomials
Hariharan Senthilkumar:
Homomesy in combinatorics
Immanuel Whang:
Topics in additive combinatorics
Isaac Chan-Osborn:
Differential posets
Ishan Joshi:
q
-analogues
Jackson Li:
Young tableaux
Jacob Kawako:
A brief summary of topological combinatorics
Jonathan Yu:
Rational Catalan numbers
Jules Gardner:
Differential posets
Justin Cheong:
Kepler towers (Catalan objects)
Kartik Gudapati:
Homomesy, toggles, and rowmotion
Katherine Li:
Topological combinatorics
Keith Li:
Sturmian words
Lalith Durbhakula:
Linear programming and its interior point methods
Leo Tsai:
The Borsuk-Ulam Theorem & Tucker's Lemma
Levi Segal:
An expository introduction to matroid theory
Lincoln Meyer:
q
-analog
Marigold Strupp:
q
-analogues
Muhammad Ammar:
You might be able to divide by
n
Om Lala:
Topics in additive combinatorics
Prashanth Prabhala:
Linear programming
Rayhaan Patel:
Matroids
Richard Mai:
Matroid theory
Roy Eduardo Yaranga-Almeida:
Pólya's Enumeration Theorem
Ryan Bansal:
Rational Catalan numbers and core partitions
Siddharth Krishna:
Hyperplane arrangements and combinatorial complexity
Sri Srinivasan:
A combinatorial and geometric view of rational Catalan numbers
Stephen Zhou:
Roth's Theorem in 𝔽
p
n
and ℤ
N
Tarun Rapaka:
On
q
-analogues, Gaussian coefficients, and their applications
Vedant Valluri:
Analytic combinatorics
Vinayak Damarla:
Pattern avoidance in permutations
Yaasiin Noor:
The Rogers-Ramanujan identities, their combinatorial interpretation, and generalization