I'm currently a math PhD candidate at Princeton University, primarily interested in graph theory/discrete math, and automated proof methods in particular. My advisor is Maria Chudvnosky. I am supported by an NSF GRFP fellowship.
I graduated from Princeton in 2023 with an AB degree in math and a certificate in applications of computing. My senior thesis was "On Hadwiger's Conjecture with Independence Number 2", the first half of which corresponds to paper 9 below, and my junior paper was "Various Variants of Wythoff Nim", paper 8. For these research projects I earned the Middleton Miller '29 Prize in 2023.
Email, if you want to contact me: dc65@princeton.edu.
16. "The Sidon error term" (with B. Georgiev, Z. Hunter, K. O'Bryant, J. G. Serrano, T. Tao, and A. Zs. Wagner), in preparation.
15. "Hadwiger's Conjecture for {P6, co-claw}-free graphs", in preparation.
14. "Hadwiger's Conjecture for {co-claw, co-gem}-free graphs and {fork, antifork}-free graphs" (with J. H. Yip), in preparation.
13. "When all directed cycles have the same weight" (with E. Berger and P. Seymour), arXiv:2601.12746, submitted.
12. "Pathographs and some (un)decidability results" (with N. Trotignon), arXiv:2505.19871, submitted.
11. "On the joint embedding property for cographs and trees", arXiv:2409.06127.
10. "On the Diameter of Finite Sidon Sets" (with Z. Hunter and K. O'Bryant), Acta Hungarica Mathematica vol. 175, 2025 (link), arXiv:2310.20032.
9. "Hadwiger's Conjecture with Certain Forbidden Induced Subgraphs", Experimental Mathematics, in press (link), arXiv:2211.00259.
8. "Various Variants of Wythoff Nim", manuscript, 2022.
7. "An Elementary Proof of the Signature of Satellite Knots", arXiv:2203.03217.
6. "An Atomic Viewpoint of the TP Completion Problem" (with C. Johnson), Linear Algebra and its Applications vol. 693, 2024 (link), arXiv:2203.04484.
5. "The Totally Positive Completion Problem: The 3-by-n Case" (with K. DiMarco, C. Johnson, L. Wedemeyer, and Z. Yu), Special Matrices vol. 9, 2021 (link).
4. "The Complexity of Checking Partial Total Positivity" (with C. Johnson), arXiv:2103.08742.
3. "Metropolized Multiscale Forest Recombination for Redistricting" (with E. Autry, G. Herschlag, Z. Hunter, and J. Mattingly), Multiscale Modeling & Simulation vol 19 no 4, 2021 (link). In arXiv as "Multi-Scale Merge-Split Markov Chain Monte Carlo for Redistricting", arXiv:2008.08054.
2. "Metropolized Forest Recombination for Monte Carlo Sampling of Graph Partitions" (with E. Autry, G. Herschlag, Z. Hunter, and J. Mattingly), SIAM Journal on Applied Mathematics vol 83 no 4, 2023 (link), arXiv:1911.01503.
1. "Optimal Legislative County Clustering in North Carolina" (with Z. Hunter, D. Teague, G. Herschlag, and J. Mattingly), Statistics and Public Policy vol. 7, 2020 (link), arXiv:1908.11801.
3. "Weightable digraphs", 2026 Barbados Graph Theory Workshop, Holetown, Barbados, 2026.
2. "Progress on weightable digraphs", 2025 Barbados Graph Theory Workshop, Holetown, Barbados, 2025.
1. "An Atomic Viewpoint of the Totally Positive Completion Problem", The 24th Conference of the International Linear Algebra Society, Galway, Ireland, 2022.
9. "Pastures and matroid foundations", Combinatorics Learning Seminar, Princeton, 2026.
8. "Undecidability results in graph theory", Combinatorics Learning Seminar, Princeton, 2025.
7. "Sums of squares of graphs", Graudate Student Seminar, Princeton, 2025.
6. "The minimum number of triangles in graphs with a given number of edges", Combinatorics Learning Seminar, Princeton, 2025.
5. "Wythoff nim and greedy queens", Graduate Student Seminar, Princeton, 2024.
4. "Automata theory methods in discrete math", Combinatorics Learning Seminar, Princeton, 2024.
3. "You could have invented flag algebras", Combinatorics Learning Seminar, Princeton, 2024.
2. "Automating Structural Graph Theory with Local Conditions", First-Year Seminar, Princeton, 2023.
1. "On the Diameter of Finite Sidon Sets", Combinatorics Learning Seminar, Princeton, 2023.
I am a member of Sympoh Urban Arts Crew, Princeton's breakdancing group. I have been a choreographer since spring 2023, and I was the artistic director in the '25-'26 school year. Shows that I have been in:
'25-'26: BeatBender (I was the artistic director and choreographed a piece).
'24-'25: Jailbreak (I choreographed this piece).
'23-'24: Heartbreakers (I choreographed this piece).
'22-'23: Beat Kill.
I was president of the Princeton Juggling Club from spring 2021 to spring 2022. Shows that I have been in:
'23-'24: Avatar: The Last Ring Juggler.
'22-'23: Alice in Juggle-land.
'21-'22: Romeo and Juggliette.
I gave a soft talk on the mathematics of juggling in early 2022, which you can watch online here. Please check it out!
I was an occasional problem writer for the Princeton University Mathematics Competition from 2021-2023.
This page was last updated on 4/19/26.