Neha Nanda

Marie Skłodowska-Curie Postdoctoral Researcher | Mathematics

My research interests are broadly in the algebraic aspects of knot theory, braid groups and their generalisations. In particular, in past I have worked on problems related to combinatorial group theory, planar braids, doodles on surfaces, virtual knots and quandles. Currently, I am reading surface braid groups and diagram groups and working on problems related to Cactus groups.

Positions Held

Laboratoire de Mathématiques Nicolas Oresme (LMNO), Université Caen Normandie, October 2022-Till Date. Funded by European Union’s Horizon Europe R&D programme under the Marie Skłodowska-Curie grant agreement N°101066588.

Laboratoire de Mathématiques Nicolas Oresme (LMNO), Université Caen Normandie, June 2022-September 2022. Co-Funded by Normandy region and European Union’s Horizon 2020 R&D programme under the Marie Skłodowska-Curie grant agreement N°101034329.

Indian Institute of Science Education and Research (IISER) Bhopal, September 2021-May 2022. Funded by IISER Bhopal.

Education

Indian Institute of Science Education and Research (IISER), Mohali

Thesis: Structural aspects of planar braid groups

Indian Institute of Science Education and Research (IISER), Mohali

Kamala Nehru College, University of Delhi

The Frank Anthony Public School

Research Publications

Accepted
1. (With Tushar Naik and Mahender Singh), Structure and automorphisms of pure virtual twin groups, Monatshefte für Mathematik (2023), 28 pp.
2. (With Mahender Singh), Alexander and Markov theorems for virtual doodles, New York Journal of Mathematics, Volume 27 (2021), 272-295.
3. (With Tushar Kanta Naik and Mahender Singh), Conjugacy classes and automorphisms of twin groups, Forum Mathematicum 32 (2020), 1095-1108.
4. (With Tushar Kanta Naik and Mahender Singh), Some remarks on twin groups, Journal of Knot Theory and its Ramifications (2020) 2042006, 14 pp.
5. (With Valeriy G Bardakov and Mikhail V Neshchadim), On The Lower Central Series Of Some Virtual Knot Groups, J J. Knot Theory Ramifications 29 (2020), no. 9, 2050065, 23 pp.

Preprints
1. (With Pravin Kumar, Tushar Kanta Naik and Mahender Singh), Commutator subgroups and crystallographic quotients of virtual extensions of symmetric groups (2023), 29pp, Arxiv
2. (With Tushar Kanta Naik and Mahender Singh), Virtual twin groups and permutations (2021), 30pp, Arxiv
3. (With Tushar Kanta Naik and Mahender Singh), Derivations of quandles (2018), 13pp, Arxiv

CONFERENCE CO-ORGANISED

(With Paolo Bellingeri and John Guaschi) Algebra days in Caen: Cactus and Diagram Groups, LMNO, Universite de Caen Normandie, March 06-08, 2023.

Talks Delivered

Algebra days in Caen: Cactus and Diagram Groups, LMNO, Universite de Caen Normandie, On Twin groups, March 06, 2023.

Fourth meeting AlMaRe, LMNO, Universite de Caen Normandie, On twin and virtual twin groups, Jan 09-11, 2023.

Department Seminar, LMNO, Universite de Caen Normandie, Twin groups and doodles, Sept 27, 2022.

Braid meeting 2022: Generalised braid groups, Université de Picardie Jules Verne, Amiens, Alexander and Markov theorems for doodles on surfaces, Aug 29-Sept 02, 2022.

 Knot theory and Applications, International Conference, Tomsk Russia, Automorphisms of pure virtual twin groups, June 29, 2022.

 Bate-Papo topológico 2022, Mathematics Department at UFSCar, Exposition on twins and doodles, April 26, 2022.

IISER Bhopal Math Symposium, IISER Bhopal, Automorphisms of twin groups, March 25, 2022.

Geometry and Topology seminars, IISER Bhopal, Twins and doodles, February 17, 2022.

Department seminar, IISER Bhopal, Alexander and Markov theorems for virtual doodles, November 11, 2021.

 World of Geometric group theory online, Virtual twin groups and doodles on surfaces, August 26, 2021.

 4th International Conference on Groups and quandles in low dimensional topology, Regional Scientific and Educational Mathematical Center, Tomsk State University, Alexander and Markov theorems for virtual doodles, July 5-8, 2021.

 Knots and Representation theory, Moscow State University, An excursion on doodles on surfaces and virtual twins, February 15, 2021.

 Moscow-Beijing topology seminar series, An excursion on doodles on surfaces and virtual twins, December 16, 2020.

 CUP-IISERM Mathematics graduate student workshop, Doodles on surfaces and its related groups, December 15, 2020.

 First Korea-Russian conference on Knot theory and related topics, Virtual twins and doodles, November 02-06, 2020.

 3rd International Conference on Groups and quandles in low dimensional topology, Regional Scientific and Educational Mathematical Center, Tomsk State University, Virtual twins and doodles, October 3, 2020.

Young Mathematicians Symposium (YoMathS), IISER Mohali, Twins and doodles, December 7, 2019.

Knots and Braids in Norway, NTNU, Trondheim, Norway, Knot invariants from derivations of quandles, May 13-17, 2019.

Cynosure, Mathematics Research Day, IIT Ropar, Knot invariants from derivations of quandles (poster), October 12, 2018.

CONFERENCES/WORKSHOPS/SEMINARS

Winter braids, Universite de Tours, Tours, France, January 21-24, 2023.

 ICM 2022, St Petersburg, Russia, July 06-14, 2022.

Quantum topology and geometry, Conference in honour of Vladimir Turaev, IHP Paris, June 13-June 17, 2022.

 Braids in low-dimensional topology, ICERM, Brown University, April 25-29, 2022.

IISER Bhopal Math Symposium, IISER Bhopal, March 25-26, 2022.

Geometry and Topology seminars, IISER Bhopal, ongoing every Thursday.

Combinatorics of Coxeter groups and Free groups, lecture series by Dr Tushar Kanta Naik, IISER Mohali.

 Knots and Representation theory, Moscow State University, lecture series.

 Second Korea-Russian conference on Knot theory and related topics (online), November 29, 2021-December 3, 2021.

 Knots and Representation theory, Moscow State University, Lecture series, 2021.

 Knots through web, ICTS Bangalore, August 24-28, 2020.

 IISER-NISER Mathematics web meet, July 13-17, 2020.

Workshop on Volume Conjecture and related topics in Knot Theory, IISER Pune, December 17-21, 2018.

Symposium on Geometry and Topology, IIT Ropar, December 2, 2018.

Young Topologists’ Meet, Chennai Mathematical Institute, Chennai, July 16-18, 2018.

Groups and Related Structures, IISER Mohali, December 07-08, 2017.

7th East Asian Conference on Algebraic Topology (EACAT), IISER Mohali, December 01-06, 2017.

Geometry, Groups and Dynamics, ICTS Bangalore, November 06-24, 2017.

Mini-course on Several Complex variables, Indian Statistical Institute, Chennai, December 08-13, 2016.