Past years
Twoples has participants from all over the world! Here's a map of former mentee (blue) and mentor (red) institutions.
Former Twoples participants can also opt to have their names and projects listed below.
Fall 2023
Introduction to Hilbert spaces
Mentee: Avery Williams (CUNY Baruch)
Mentor: Chaitanya Kulkarni (IISER Bhopal)
Introduction to algebraic curves
Mentee: Shreya Mandal (IMA Bhubaneswar)
Mentor: Anna Brosowsky (University of Michigan)
Introduction to metric and topological spaces
Mentee: Andrew Biehl (Carleton College)
Mentor: Eleftherios Chatzitheodoridis (University of Virginia)
Elliptic cohomology
Mentee: Josh Akililu
Mentor: Torgeir Aambø (NTNU)
Cycles in Tanner graphs of LDPC codes
Mentee: Ben Roark (Coe College)
Mentor: Henry Chimal Dzul (Notre Dame)
Spring 2023
Group actions on trees
Mentee: Joshua J Abraham (IISER Mohali)
Mentor: Agniva Roy (Georgia Tech)
Probability and statistics
Mentee: Harsh Agarwal (IIT Bombay)
Mentor: Emmanuel Khiangte (IIT Bombay)
On the Lie solvability of Novikov algebras
Mentee: Rudrajit Dey (IMA Bhubaneswar)
Mentor: Saber Ahmed (Hamilton College)
Galois theories
Mentee: Andrej Borovic (University of Belgrade)
Mentor: Julius Frank (University of Aberdeen)
A survey of randomized algorithms
Mentee: Charles Troutman (Washington University in St. Louis)
Mentor: Anna Brosowsky (University of Michigan)
Fall 2022
An introduction to the probabilistic method
Mentee: Jasmine Tang (Santiago Canyon College)
Mentor: Anna Brosowsky (University of Michigan)
Project: Probabilistic method
An introduction to linear error correction codes
Mentee: Lillian Frey (Binghamton University)
Mentor: Deewang Bhamidipati (UC Santa Cruz)
A reciprocity theorem in function fields
Mentee: Wang Junwu (National University of Singapore)
Mentor: Erik Davis (Texas A&M University)
Probabilistic methods in combinatorics
Mentee: Minh-Quan Vo (VNUHCM - University of Science)
Mentor: Mathieu Rundström (University of Waterloo)
Spring 2022
Group actions, Sylow theorems, and modules
Mentee: Alice Mehalek (University of Alaska Southeast)
Mentor: Niny Arcila-Maya (Duke University)
Gröbner bases and the ideal membership problem
Mentee: Elly Do (Dickinson College)
Mentor: Anna Brosowsky (Univeristy of Michigan)
Number theory of number field: class groups
Mentee: Lalit Mohan Sharma (University of Delhi)
Mentor: Deewang Bhamidipati (UC Santa Cruz)
Topological field theories
Mentee: Kaushal Timilsina (Vellore Institute of Technology)
Mentor: Chetan Vuppulury (Sapienza University of Rome)
Fall 2021
Galois theories of fields and covering spaces
Mentee: Gunjeet Singh (Indian Institute of Technology Ropar)
Mentor: Samuel Hsu (University of Illinois Urbana-Champaign)
Stability phenomena in unstable homotopy theory
Mentee: Shree Ganesh (Chennai Mathematical Institute)
Mentor: Niall Taggart (Utrecht University)
Introduction to algebraic geometry: varieties
Mentee: Lalit Mohan Sharma (University of Delhi)
Mentor: Deewang Bhamidipati (UC Santa Cruz)
Perfectoid fields
Mentee: Soroush Pasandideh (Shahid Beheshti University)
Mentor: Ehsan Shahoseini (Tarbiat Modares University)
Project: An introduction to perfectoid fields
Discretising concepts from differential geometry
Mentee: Natasha Diederen (University of Warwick)
Mentor: Caleb Ji (Columbia University)
Spring 2021
Elliptic curves and cryptography
Mentee: Sergio Nishimura Vallarta (Universidad de Guanajuato)
Mentor: Kyrie Johnson (Duke University)
Matroid theory and Rota's conjecture on excluded minors
Mentee: Pranjal Dangwal (Michigan State University)
Mentor: Anna Brosowsky (University of Michigan)
Separation axioms and the Tietze extension theorem
Mentee: Drew Dias (Southern New Hampshire University)
Mentor: Woojin Kim (Duke University)
The nilradical of a ring is the intersection of all prime ideals
Mentee: Gauranga Kumar Baishya (IIT Madras)
Mentor: Wade Bloomquist (Georgia Institute of Technology)
Fall 2020
Construction of the natural numbers and the recursion theorem
Mentee: Zachary Shaked (Baruch College)
Mentor: Michael Urbanski (University of Connecticut)
Cooperative two-type SIR processes on Galton-Watson trees and social networks
Mentee: Tai-Heng Liu (University of Hawai'i at Manoa)
Mentor: Dong Yao (Duke University)
Number field harmonic numbers
Mentee: Fabian Camilo Martinez Silva (Universidad del Cauca)
Mentee: Leonardo Jesús Méndez Villamil (Universidad Nacional Autónoma de México)
Mentor: Santiago Arango-Piñeros (Emory University)
Properties and applications of the discrete Arnold's cat map
Mentee: Drew Dias (Southern New Hampshire University)
Mentor: Ryan Coatney (University of Arizona)
The Galois correspondence in algebraic topology
Mentee: Siddhant Chaudhary (Chennai Mathematical Institute)
Mentor: Wade Bloomquist (Georgia Institute of Technology)
Dirichlet's theorem and arithmetic progressions
Mentee: Dishant Saikia (Tezpur University)
Mentor: Caleb Ji (Columbia University)
Central limit theorems via moments
Mentee: Duncan Haystead (University of California, Berkeley)
Mentor: Sayan Das (Columbia University)
A study on computer algorithms
Mentee: Jessica Zhao (Colgate University)
Mentor: Anna Brosowsky (University of Michigan)