<   Oliver Pechenik: Algebraic Combinatorics and Schubert Calculus   >

I can supervise graduate students in Combinatorics & Optimization or in Pure Mathematics. These programs have different requirements. If you are interested in working with me, I am happy to discuss which department makes more sense for you.


I have supervised the following students and postdocs:


  • Postdocs
  • PhD
    • Timothy Miller (2024–, University of Waterloo), co-advised with Kevin Purbhoo
    • Mike Cummings (2024–, University of Waterloo)
    • Santiago Estupiñán-Salamanca (2021–, University of Waterloo), co-advised with David Wagner
      • A universal characterization of the shifted plactic monoid
        19 pages.
        arXiv:2411.17619
  • Master's
    • Laura Pierson (2023–2024, University of Waterloo), co-advised with Logan Crew
      University Finalist for the Alumni Gold Medal
      • On the chromatic symmetric homology for star graphs
        Submitted, 11 pages.
        arXiv:2408.01396
      • A power sum expansion for the Kromatic symmetric function
        Submitted, 8 pages.
        arXiv:2408.01395
      • Proof of a K-theoretic polynomial conjecture of Monical, Pechenik, and Searles
        Submitted, 11 pages.
        arXiv:2408.01390
      • Counting induced subgraphs with the Kromatic symmetric function
        Submitted, 12 pages.
        arXiv:2403.15929
    • Matthew St.Denis (2021–2024, University of Waterloo)
      • Degrees of P-Grothendieck polynomials and regularity of Pfaffian varieties
        Submitted, 24 pages.
        arXiv:2405.17645
  • Undergraduate research students
    • Kimia Shaban (2022, University of Waterloo)
      Kimia is now an MMath student at the University of Waterloo
    • Yohan Song (2022, University of Waterloo)
      Yohan is now a Master's student at the University of Toronto
    • Miles Simmons (2021, University of Waterloo)
      Miles is now an MMath student at the University of Waterloo
    • Rahul Ilango (2017, Rutgers University)
      Rahul is now an PhD student in computer science at MIT
      • Unique rectification in \(d\)-complete posets: Towards the \(K\)-theory of Kac-Moody flag varieties
        Electronic Journal of Combinatorics 25(4), 2018, 1-35.
        arXiv:1805.02287
    • Michael (Mik) Zlatin (2017, Rutgers University)
      Mik is now an PhD student in algorithms, combinatorics and optimization at Carnegie Mellon University
      • Unique rectification in \(d\)-complete posets: Towards the \(K\)-theory of Kac-Moody flag varieties
        Electronic Journal of Combinatorics 25(4), 2018, 1-35.
        arXiv:1805.02287