Faculty at School of Natural Sciences

Neha Gupta

Neha Gupta

Associate Professor

School of Natural Sciences


Contact Information

Neural Codes, Integer partition, Frobenius Coin Problem, Category Theory.

Year Qualification / Details
2007–2011 Ph.D. in Mathematics, University of Warwick, United Kingdom (UK)
Thesis Title: Homotopy Quantum Field Theory and Quantum Groups
Supervisor: Prof. Dmitriy Rumynin, University of Warwick, UK
Awardee of fully funded Vice-Chancellor’s Scholarship, University of Warwick
2004–2006 M.Sc. in Mathematics, University of Delhi, India
Score: 86.25%
Secured First Position, South Campus, University of Delhi
2000–2003 B.Sc. (Hons) in Mathematics, University of Delhi, India
Score: 82%
Secured Second Position in the college
2000–2002 eDiploma in Advanced Software Technology (eDAST)
Grade: A-grade
CMC Ltd., New Delhi, India
1999–2000 XIIth Standard (Science Stream), CBSE
Laxman Public School
Score: 82% (Best of Four)
1997–1998 Xth Standard, CBSE
Laxman Public School
Score: 84%

Algebra, Discrete Mathematics, Number Theory.

Year Award / Scholarship
2007 Vice Chancellor’s Scholarship, University of Warwick, United Kingdom (UK)
2005 Post Graduate Scholarship, University of Delhi, India
1999 Merit Scholarship, Laxman Public School, Delhi, India
1998 Merit Scholarship, Laxman Public School, Delhi, India
1997 National Mathematics Olympiad, First Division

  1. Neural Category Neha Gupta and Suhith K N Proceedings of the Jangjeon Mathematical Society, 29 (2026), No. 2, pp. 231 – 241 DOI: http://dx.doi.org/10.17777/pjms2026.29.2.007
  2. Frobenius numbers associated with Diophantine Triples of x2 + y2 = zr for r ≥ 4, accepted by the Journal of Ramanujan Mathematical Society (Nov, 2025). Takao Komatsu, Manoj Upreti, Neha Gupta.
  3. The Frobenius number for the triple of the 2-step star numbers, Bulletin of the Hellenic Mathematical Society, Volume 69, 2025 (1–15). https://bulletin.math.uoc.gr/
  4. Frobenius numbers associated with Diophantine triples of x2 + y2 = z3, Bulletin of the Australian Mathematical Society (2024).
  5. Berkovich–Uncu Type Partition Inequalities Concerning Impermissible Sets and Perfect Power Frequencies, in Annals of Combinatorics (2023). https://doi.org/10.1007/s00026-023-00638-2.
  6. Neuralcodes and neural ring endomorphisms, Neha Gupta and Suhith K N, Rocky Mountain Journal of Mathematics, (2023). Available here.
  7. Convex Realizations of Neural Codes in One Dimension, Karthika A, Gupta Neha, S.R. Prathibha, and J. Sasikumar in AIP Conference Proceedings. (November 06, 2020). https://aip.scitation.org/doi/pdf/10.1063/5.0025231.
  8. A remark on Extension of a monoidal structure, Univ. Sci. Budapest. Eötvös Sect. Math.60 (2017), 145–155. 18D10 (19D23).

HQFTs and Quantum Groups (ISBN 978-38473-3857-4) with LAP LAMBERT Academic Publishing, Germany.

  • “Properties of graphs on neural codes” in the International Conference on Linear Algebra & its Applications (ICLAA-2025), MIT Campus, December 17-20,
  • “Neural Category” at theInternational Conference on Discrete Mathematics and Combinatorics (ICDMC-2023), Manipal Institute of Technology, Bengaluru. December 20-22, 2023.
  • “Berkovich–Uncu Type Partition Inequalities Concerning Impermissible Sets and Perfect Power Frequencies”, Ramanujan School of Mathematical Sciences, Pondicherry University, Puducherry, India. November 3,
  • “Algebraic and Topological Properties of neural Codes”, Annual conference of Indian Women and Mathematics (IWM), Banasthali Vidyapith, Rajasthan.
  • Organiser and Associate Teacher for Algebra, 6 weeks Annual Foundation School (AFS-II, 2021), National Centre for Mathematics (NCM). SNU,
  • “Extension of Monoidal Structure”, Annual conference of IWM 2019, IIT Bombay. 2019.
  • “Frobenius algebras and TQFT’s in dimension-2”, IISER, Pune on June 14, 2016. Research visit for two weeks.
  • “Homotopy Quantum Field Theory and Crossed systems”, Indian Women and Mathematics by National Board for Higher Mathematics (N.B.H.M.). University of Delhi, April 2-4, 2015.
  • “Fun with Numbers (Pascal’s Triangle)”, E-QUAL Workshop on Critical thinking in undergraduate education. SNU, August 7- 8, 2014. It included participants from the four partner Universities in India as well as from the British Council.
  • “Spectral Theory”, lecture series during the Summer School in Mathematics, SNU. 2014.
  • “Homotopy Quantum Field Theory”, Young Women and Mathematics (YWM-2014), held at IISER Pune. July 25-27, 2014.
  • “A Journey of Categories and functors and some results”, Departmental Seminar Sessions, SNU, 2013.
  • “TQFTs and Frobenius Algebras”, SNU, 2012.

  • “Volume Conjecture and Related Topics in Knot Theory” IISER Pune. December 17-21,
  • Interdisciplinary Conference on “Science and Applications of Networks”, SNU, March 20 – 22, 2015.
  • “Enabling Pedagogies in Higher Education in India”, SNU. March 26-27, 2015.
  • “International Conference on Linear Algebra & its Applications” (ICLAA-2014), organized by ILAS. MIT, December 18-20, 2014.
  • Annual Conference of Ramanujan Mathematical Society (RMS), October 2012.

Summer Projects

  • Summer Project with Ms.Hema Mehra, pursuing MSc Mathematics from NIT, Rourkela. She did summer internship during summers of 2019 under my guidance on the topic “Combinatorial Analysis of Convex Neural Codes”.
  • Summer Project with ManmohanSahu, pursuing MSc Mathematics from IIT Patna. He had external funding (DST INSPIRE). He did summer internship during summers of 2021 under my guidance on the topic “Frobenius Algebra and TQFT’s”.
  • Summer Project with a DST Inspire fellow student, Sameer, from Integrated Science Education and Research Centre (ISERC), Visva Bharati. He was at SNU during the summers for a month and a half, 2018. He worked on the topic “Derived Categories and Derived Functors”.