University of Illinois Urbana-Champaign

Illinois Combinatorics Lab for Undergraduate Experiences

ICLUE · Founder and Director: Alexander Yong

The program

About ICLUE

This program (initiated Spring 2017) is for undergraduate students who are seriously interested in graduate school in mathematics. Activities can take various forms, including:
  • Research projects
  • Combinatorics education initiatives (visiting local high schools)
  • Seminars with academic visitors
  • Conference travel
This is was originally an unpaid mentorship program. However, thanks to NSF RTG DMS 1937241, we have support for US citizens and permanent residents that are UIUC undergraduates. The mentoring faculty include Jozsef Balogh, Philippe Di Francesco, Kevin Ford, Rinat Kedem, Alexandr Kostochka, and Alexander Yong. Please see the combinatorics RTG site for more information. Generally speaking, a strong performance in a class by one of the faculty is a prerequisite. You may also contact one of the faculty and/or Alexander Yong for more information.

Research & programs

Products of ICLUE

26 entries

The original chronological ordering is preserved.

Powers of the Vandermonde determinant are eventually non-SNP

(Thien Le (ICLUE alum '19) and Melanie Weber) ICLUE alum Thien Le '19 obtained a PhD in CS at MIT and subsequently started a postdoc at Harvard. In July 2026 he and Melanie Weber used chatGPT to solve a problem that he heard about in ICLUE.

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Where people went next

Member outcomes

26 entries
View member outcomes
  • Nhi Dinh '27 (mentor: Dhawan) will start a math PhD at UIC in Fall 2026. Nhi wrote two preprints with mentor Dhawan.
  • Annie Zeng (mentor: Bradshaw) won a 2025 Goldwater scholarhsip. See this press release. She also won an NSF graduate fellowship and will start a CS PhD at UIUC in Fall 2026.
  • Dylan Roscow '25 will start a math PhD at Purdue in Fall 2025.
  • Casey Appleton (mentor: Hardt, Orelowitz, Y) will attend UC Berkeley for a math Phd, starting Fall 2025.
  • Anakin Dey will (mentor: Y) is attending Ohio State U for a math Phd, starting Fall 2024.
  • Maya Viswanathan (mentor: Y) is a high school student from University Lab School. Maya will attend Yale in Math/CS for her undergraduate studies starting Fall 2024.
  • Dinglong Wang (mentors Shiling Gao, Y) will start a Math Phd at Northwestern in Fall 2024.
  • Tasha Fellman (mentor Y) is an MS student at U. Minnesota math.
  • Zhuo Zhang will participate in the REU at U. Chicago in Summer 2023. He also is a recipient of the 2022-2023 Lewis C. Hack Scholarship.
  • Anshul Adve was awarded a 2019 Goldwater fellowship at UCLA for work done through ICLUE. He attended a U. Chicago REU in summer of 2019. He is a 2021 Hertz Fellowship finalist (one of 48 named in the nation, and the only one in mathematics). He also was awarded an NSF graduate fellowship in 2021. He will start his math PhD at Princeton in Fall 2021.
  • David Brewster will be funded by an NSF RTG to work in the ICLUE program in Summer 2020 and Fall 2020. David will attend Harvard's PhD program in CS in Fall 2022.
  • Anna Chlopecki '20 (mentor: Y) will be attending a math REU at Brown in the summer of 2019; accepted to multiple private and public math PhD programs and will start a math doctoral degree at Purdue in Fall 2020.
  • Matt Fakler (Mentor: Andy Hardt) will be funded to work with ICLUE in Summer '25.
  • Matthew Faust '18 (mentor: Y) is pursuing a PhD in math at Texas A+M
  • Zhaobidan (Amy) Feng '18 (mentor: Y) is pursuing a PhD in math at Texas A+M
  • Yang Han (mentor: Y) Yang will be awarded an ICLUE/George Francis Award to work with ICLUE during Summer 2025.
  • Ananth Koppol is funded by an NSF RTG to work in ICLUE in Fall 2020; Ananth graduated in '23 and is now working at Facebook
  • Thien Le '19 obtained a PhD in CS at MIT and subsequently started a postdoc at Harvard. See his website. In July 2026 he and Melanie Weber used chatGPT to solve a problem that he heard about in ICLUE here.
  • Jeremy McMahan '18 is pursuing a PhD in CS at U. Wisconsin
  • Husnain Raza is funded by an NSF RTG to work in ICLUE in Summer 2020 and Fall 2020.
  • Dylan Roscow (mentor: Y.) will work with Yong on research in algebraic combinatorics during Summer 2022. In Fall 2025, Dylan will start a math PhD at Purdue.
  • Steven Zhang '20 is attending Oxford for a graduate program offered jointly by the Mathematical Institute and the Department of Physics. In Fall 2021 he will return to the US for graduate study in mathematical physics at Stony Brook.
  • Judy Chiang (mentor: Y. and Avery St. Dizier) will attend the math PhD program at Minnesota in Fall 2023. Previously she attended the University of Minnesota's Summer 2022 REU in Algebra, Combinatorics, and Representation Theory. In Summer 2021 she was accepted to the same program, but also Cornell's SPUR program, and MIT's SGI program; she attended the latter program. In Fall 2021, Judy also was awarded an LAS Design and Career Scholarship to work with Prof. Avery St. Dizier. She was also awarded a James Scholar Preble Research Award (later) in Fall 2021 for this work. She was awarded a Lois M. Lackner prize in Spring 2022. In Summer 2022 she will attend the U. Minnesota Summer REU in combinatorics and is participating in the ICLUE 2022 summer program on representation theory and combinatorics.
  • David Brewster '21 has won the math department's H. Roy Brahana prize (Spring 2021)
  • Mose Mizrahi '21 will move to ETH Zurich in the Fall of 2021 to begin graduate study in CS.
  • Tue Do and Dmitrios Tambakos are joining A. Yong's ICLUE group in summer '21 on NSF RTG funding.

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Community

Members & alumni

70 entries
Browse the full members / alumni list

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  • Anshul Adve (high school student; now undergraduate at UCLA; 2019 Goldwater Fellowship)
  • Casey Appleton '25 (Mentor: Hardt, Orelowitz, Y) RTG funded to participate in the ICLUE summer program on representation theory and combinatorics in Summer '22 lead by Y. Won the Elise Thomas Fraser Award Spring 2022 and the Elizabeth R. Bennet Scholarship in 2023. Funded for Summer and Fall 2023 as well as Spring 2024. In Summer 2024 he will attend the UMN Summer REU in Combinatorics and Algebra. In Fall 2024 he will rejoin ICLUE with funding. In Fall 2025 he will start his Math PhD at UC Berkeley.
  • Richard Bi (Mentor: Peter Bradshaw) Wrote Flexibility of graphs with maximum average degree less than 3 (with mentor Peter Bradshaw), Fall 2023. He will continue to work with Peter in Fall 2024 with RTG support.
  • Brendan Biernacki (Mentor: Michael Wigal) Funded to work in ICLUE, Spring 2024.
  • David Brewster '21 (H. Roy Brahana prize winner) (Mentors: Gao, Hodges, Orelowitz, Y.) Will attend Harvard's PhD program in CS starting Fall 2022.
  • David Buksa
  • Liam Buttita (Mentors: Philippe Di Francesco, Rinat Kedem, Ada Stelzer, Yong) will be fundined to work with his mentors (Di Francesco, Kedem) for Fall 2024. He will work with Stelzer and Yong in the ICLUE summer program in Summer 2025. He will work with Ada Stelzer in Fall 2025, Spring 2026, and Summer 2026. He is also participating in a research program with Yong in Summer 2026.
  • Atlas Chen (Mentor: Peter Bradshaw)
  • Hongxuan Chen (Mentor: Balogh)
  • Judy Chiang (Mentors: St. Dizier, Y) Multiple REUs and awards (see above). Will be participating in the '22 summer ICLUE program on representation theory and combinatorics.
  • Dylan Chiu (Mentor Y) Participated in the '22 summer ICLUE program on representation theory and combinatorics.
  • Anna Chlopecki (2019 REU at Brown, now in Math PhD at Purdue U)
  • Isa Chou (Mentor Y) is participating in ICLUE Summer 2026.
  • Elia Chudov
  • Aaron Marcus Cunanan
  • Anakin Dey '24 (mentor: Y). Anakin will attend an REU Summer '23 in Algebra at Texas State U. Anakin is funded to work in ICLUE for Spring 2024. He will attend the PhD program in math at Ohio State, Fall 2024.
  • Nhi Dinh '27 (mentor: Abhishek Dhawan) Will work with Professor Dhawan in Fall 2025 on a research problem related to list coloring hypergraphs, continuing work done during Summer 2025. Nhi will also attend the graph theory seminar and the literature seminar. In Fall 2025 she cowrote this paper, along with her mentor Dhawan and others. She will attend UIC as a doctoral student in Fall 2026.
  • Tue Do (mentors: Gao, Orelowitz, Y.)
  • Arianna Doran (mentor: Abigail Price, Ada Stelzer, Yong) Arianna attended the summer school on Combinatorial Lie theory at UIUC during Summer 2024 and even travelled with the group to Chicago to meet with Professor Bernd Sturmfels. She is conducting research on RSK and will continue to do so with RTG funding in Fall 2024 and Spring 2025. In Spring 2025, her mentor is Abigail Price.
  • Cathy Du
  • Colin Edsey (mentor: Y) will participate in the Summer 2026 program in algebraic combinatorics funded by the RTG.
  • Matthew Faust
  • Tasha Fellman '24 (mentor: Y) Supported by an ICLUE summer '23 stipend. Now a MS student at U. Minnesota math.
  • Zhaobidan (Amy) Feng (Now Math PhD at Texas A&M)
  • Vish Ganesan (mentor: Michael Wigal) Stipend for Spring 2024.
  • Divij Garg (Metea Valley High School in Aurora, IL; mentors Shiliang Gao, Y.) -- Divij is now an ICLUE member at UIUC. He will be attending an REU in astrophysics in Summer 2023 at Virginia Tech.
  • Paul Ge (Mentor: Elizabeth Kelley) is working with Kelley on a problem in combinatorial game theory starting Summer 2023 and supported by an ICLUE stipend in Spring 2024.
  • Paul Graham (Physics student)
  • Matt Ho
  • Jiasheng Hu '22 (will start a Software Engineering position at Google in Summer '22)
  • Alex Jin '25 (mentor: Y) will work in ICLUE during Summer 2024
  • Elizaveta Kalinina
  • Daniel Klovsky '19 (completed a Master's degree in Statistics at UIUC in '22)
  • Ananth Koppol '23 (mentor: Y) Facebook
  • Thien Le '19 obtained a PhD in CS at MIT and subsequently started a postdoc at Harvard. See his website. In July 2026 he and Melanie Weber used chatGPT to solve a problem that he heard about in ICLUE here.
  • Zoe Lerdoworatawee (mentors: Ada Stelzer, Y) is funded by the RTG for (part of) Spring 2025/Summer 2025 to study enumeration using combinatorial commutative algebra and related ideas. She will continue working with Yong in Fall 2025.
  • Nathan Lin
  • Chinmaya Mahesh: Jane Street
  • Jeremy McMahan (now CS PhD student at U. Wisconsin)
  • Mose Mizrahi (moving in Fall for graduate school at ETH Zurich)
  • Joaquin Padilla Montani (Austria)
  • Jackie Oh
  • Gerald Osterhaus (mentor: Di Francesco) Worked with Professor Di Francesco on "the number of tilings using triominos for a given region in the 2D plane and studying what regions can be tiled with triominos and the entropy for different regions" during Summer 2024 and is funded to work with Professor Di Francesco in Fall 2024 and Spring 2025.
  • Benjamin Pankow '21 (mentor: Y) Published a paper with Monical and Y. in Electronic J. Combinatorics. Find him here on linkedin
  • Husnain Raza '22 (mentors: Hodges, Y.)
  • Alexander Roe (mentor: Jozsef Balogh)
  • Rafael Rojas (mentor: Methuku) RTG funded to work in ICLUE, Spring 2026, Summer 2026, and Fall 2026.
  • Dylan Roscow (mentor: Y) RTG funded to participate in the summer '22 program on combinatorics and representation theory lead by Y. Funded for Summer and Fall 2023 as well as Spring 2024.
  • Jennifer Rotter '26 (mentor: Bruce Berndt) will study partition combinatorics, and is funded to do so in Spring 2025 by the RTG.
  • Michael Sandler (Physics student)
  • Ray Shang (high school student at IMSA)
  • Dmitrios Tambakos '22 (mentors: Gao, Orelowitz, Y.) Now a graduate student in math at Purdue.
  • Lucas Trojanowski '20 (mentor: Y) Completed a Master's degree in Applied Mathematics in '22. Will start a physics PhD at Maryland in Fall '22.
  • Andrey Vlasov (mentor: Y) will study under ICLUE in Spring 2025, funded by the NSF RTG.
  • Maya Viswanathan (mentor: Y) high school student from University Lab School. Maya worked in ICLUE during Summer '23 studying Schubert calculus. Maya will attend Yale in Math/CS for her undergraduate studies.
  • David Wallach '24 (mentor: Y, Andy Hardt) studying reduced word combinatorics, 2022-2023 winner of the Salma Wanna award in the math department. Funded to work with the RTG in Summer, Fall 2023 and Spring 2024. After a stint in industry in Summer 2024, he returns to ICLUE in Fall 2024 to work with Andrew Hardt on a paper about Schubert polynomials. David will start a position at Jane Street in 2025.
  • Brian Wang (mentor: David Keating) will work with David on research in Spring 2025, funded by the ICLUE program.
  • Dinglong Wang '24 (mentor: Shiliang Gao, Y) Will be in the ICLUE summer program in Summer '22. Dinglong won a Josephine Chanler Scholarship (2022-2023). Completed a preprint ``On Components of the square of a Weyl module'' (https://arxiv.org/pdf/2312.12756.pdf) in December 2023. He will start a doctoral program in math at Northwestern in Fall 2024.
  • William Wang
  • Yuzhou Wang (mentor: Balogh)
  • Zihan Wang
  • David Xia (mentors: Duy Phan, Y) will study in ICLUE in Spring 2025, funded by the NSF RTG. In Summer 2025 he will participate in the REU at the CMU Human-Computer Interaction Institute (HCII). He will be researching AI for civics.
  • Jason Xia '22 (mentor: Y) Wrote code to analyze citation data of faculty. Will start a position at Duolingo after graduation.
  • Patrick Xu '28 (mentor: Methuku) NSF RTG funded to study graph theory, Spring 2024 Summer, Fall 2025, and Spring 2026.
  • Qingqing Yang
  • Annie Zeng (mentor: Peter Bradshaw, Abhishek Methuku) funded to work with the RTG in Fall 2023 and Spring 2024. Wrote Paintability of r-chromatic graphs with Peter Bradshaw. In summer 2024, Annie was accepted to the DIMACS REU at Rutgers where she will work on theoretical computer science. She will now work with Professor Methuku in Fall 2025.
  • Bohao Zhang (Mentor: Y) funded by a George Francis Student Engagement Award to participate in the 2026 Summer School in algebraic combinatorics.
  • Steven Zhang '20 (mentor: Y) Now a graduate student in physics at Stony Brook after a masters at Oxford.
  • Yichi Zhang (Electrical Engineering student)
  • Zhuo Zhang participated in the summer '22 program on combinatorics and representation theory lead by Y. In Summer 2023 he will participate in the Chicago REU.

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More undergraduate work

Other projects