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Research

My primary interest is in enumerative combinatorics. I try to exactly enumerate combinatorial families of objects. I love bijective method of proofs and proof without words.

List of papers and preprints

  1. Bijection between Increasing Binary Trees and Rook Placements on Double Staircases , arXiv preprint.
    This work is based on my M2 thesis which was done under the supervision of Samuele Giraudo and Matthieu Josuat-Vergès.
  2. Continuously Increasing Subsequences of Random Multiset Permutations, (with Alexander Clifton, Yifeng Huang, Sam Spiro, Semin Yoo), arXiv preprint. A shorter conference version has been accepted as a poster for FPSAC 2022.
  3. Coefficientwise total positivity of some matrices defined by linear recurrences, (with Xi Chen, Alexander Dyachenko, Tomack Gilmore, Alan D. Sokal), Séminaire Lotharingien de Combinatoire 85B (2021), Proceedings of the 33rd International Conference on "Formal Power Series and Algebraic Combinatorics." arXiv preprint link
  4. Multimapper: Data Density Sensitive Topological Visualization, (with Ankita Sarkar, Nupur Kumari, Akash Rupela, Piyush Gupta, Balaji Krishnamurthy), 2018 IEEE International Conference on Data Mining Workshops (ICDMW), doi:10.1109/ICDMW.2018.00153
  5. Chromatic Polynomial and Heaps of Pieces, arxiv preprint

Patents

  1. Generating varied-scale topological visualizations of multi-dimensional data (with Ankita Sarkar, Nupur Kumari, Akash Rupela, Piyush Gupta, Balaji Krishnamurthy), US Patent Office, 2021.