研究领域

列举式组合学, 代数组合学

教育背景

Sep 2019 - Oct 2023 Ph.D. in Mathematics, University College London, United Kingdom.

Dissertation title: Enumerative combinatorics, continued fractions and total positivity

Supervisor: Prof. Alan D. Sokal

Sep 2018 - Aug 2019 Master 2 Informatique Fondamentale (Theoretical Computer Science),

Université Paris-Est Marne-la-Vallée, France.

Aug 2017 - Jul 2018 Msc. First year in Computer Science,

Chennai Mathematical Institute (CMI), India.

Aug 2014 - Jul 2017 BSc. (Hons) in Mathematics and Computer Science,

Chennai Mathematical Institute (CMI), India.

荣誉与奖励

2024 Runner-up of the British Combinatorial Committee PhD Thesis Prize in Combinatorics.

2021-22 Mayer de Rothschild Studentship at Department of Mathematics, UCL.

2020-2021 Davenport Prize in Pure Mathematics for best PhD student in Pure Mathematics for work done in the first year of research at Department of Mathematics, UCL.

2018-19 One of seven international students selected for LabEx Bezout M2 scholarship

2014-17 INSPIRE SHE scholarship, Govt. of India

论文发表

1. V. Bitonti, B. Deb, and A. D. Sokal; Thron-type continued fractions (T-fractions) for some classes of increasing trees. (62 pages).

arXiv preprint: https://arxiv.org/abs/2412.10214. (Submitted)

2. B. Deb, A. Dyachenko, M. Pétréolle, and A. D. Sokal; Lattice paths and branched continued fractions III. Generalizations of the Laguerre, rook and Lah polynomials. (86 pages arxiv, 89 pages in revision). arXiv preprint: https://arxiv.org/abs/2312.11081. (Submitted)

2. B. Deb; Continued fractions using a Laguerre digraph interpretation of the Foata-Zeilberger bijection and its variants, Combinatorial Theory, Vol. 5, Issue 1 (March 2025). (73 pages)

3. B. Deb, and A. D. Sokal; Classical continued fractions for some multivariate polynomials generalizing the Genocchi and median Genocchi numbers; In Advances in Applied Mathematics, Volume 161, (October 2024), Article number: 102756. (92 pages).

4. B. Deb, and A. D. Sokal; Continued fractions for cycle-alternating permutations; In The Ramanujan Journal, (September 2024). (48 pages)

5. B. Deb, and A. D. Sokal; A remark on continued fractions for permutations and D-permutations with a weight −1 per cycle; In Electronic Journal of Combinatorics, Volume 31, Issue 2 (2024), Article number: P2.14. (34 pages).

6a. A. Clifton, B. Deb, Y. Huang, S. Spiro, and S. Yoo; Continuously Increasing Subsequences of Random Multiset Permutations; In European Journal of Combinatorics, Volume 110, 103708 (May 2023). (20 pages)

6b. A. Clifton, B. Deb, Y. Huang, S. Spiro, and S. Yoo; Continuously In-

creasing Subsequences of Random Multiset Permutations;

In Séminaire Lotharingien de Combinatoire 86B (2022), Proceedings of the 34th International Conference on “Formal Power Series and Algebraic Combinatorics.”

7. Bijection between Increasing Binary Trees and Rook Placements on Double Staircases; In Electronic Journal of Combinatorics, Volume 30, Issue 1 (2023), Article number: P1.10. (18 pages).

8. X. Chen, B. Deb, A. Dyachenko, T. Gilmore, and A. D. Sokal; Coefficientwise total positivity of some matrices defined by linear recurrences; In Séminaire Lotharingien de Combinatoire 85B (2021), Proceedings of the 33rd International Conference on “Formal Power Series and Algebraic Combinatorics.”

9. B. Deb, A. Sarkar, N. Kumari, A. Rupela, P. Gupta, and Balaji K.; Multimapper: Data Density Sensitive Topological Visualization; IEEE International Conference on Data Mining Workshops (ICDMW), 2018.

10. A. Rupela, P. Gupta, N. Kumari, B. Deb, Balaji K., and A. Sarkar; Generating varied-scale topological visualizations of multi-dimensional data; U.S. Patent 11,100,127, issued August 24, 2021.