Dr Shuchita Goyal is a mathematician with interests mainly in Topology and Combinatorics. Her work mainly focusses on the examination of the topology of various graph complexes of different graph classes.

She completed her BSc (Hons) in Mathematics and graduated with a gold medal from the Dayalbagh Educational Institute, Agra, Deemed University. She obtained her Master’s from IIT Guwahati in Mathematics & Computing. Dr Goyal earned her PhD in Topological Combinatorics from the Department of Mathematics at IIT Bombay, under the supervision of Prof Rekha Santhanam. She has around 4.5 years of experience, which includes her association with IIT Kanpur, IIT Delhi, Chennai Mathematical Institute, and NMIMS.

Broad: Topological Combinatorics, Algebraic Topology

Specialisation: Homotopy types of graph complexes of different graph classes, Categorical structures on the category of graphs

1. ShuchitaGoyal, Samir Shukla and Anurag Singh, Matching complexes of 3xn grid graphs, Electronic Journal of Combinatorics, Volume 28, Issue 4 (2021).
   https://doi.org/10.37236/10496

2. ShuchitaGoyal and Rekha Santhanam, (Lack of ) Model Structures in the Category of Graphs, Applied Categorical Structures, Volume 29, pages 671-683 (2021).
   https://doi.org/10.1007/s10485-021-09630-4

3. ShuchitaGoyal, Samir Shukla and Anurag Singh, Homotopy type of independence complexes of certain families of graphs, Contributions to Discrete Mathematics, Volume 16, Number 3, pages 74-92 (2021).
   https://doi.org/10.11575/cdm.v16i3.71284

4. ShuchitaGoyal, Samir Shukla and Anurag Singh, Topology of Clique Complexes of Line Graphs, The Art of Discrete and Applied Mathematics, Volume 5, Number 2 (2022).
   https://doi.org/10.26493/2590-9770.1434.bf4

5. ShuchitaGoyal, Navnath Daundkar, Priyavrat Deshpande, Anurag Singh, The Borsuk-Ulam Theorem for Planar Polygon Spaces, Topology and its Applications, Volume 318 (2022).
   https://doi.org/10.1016/j.topol.2022.108204

6. ShuchitaGoyal, Fred M. Abdelmalekm, Priyavrat Deshpande, Amit Roy and Anurag Singh, Chordal graphs, higher independence and vertex decomposable complexes, International Journal of Algebra and Computation, Volume 33, Number 03, pages 481-498 (2023).
   https://doi.org/10.1142/S0218196723500236

Linear Algebra