Academic Profile:
Professor, IISER Bhopal (since 2023)
Associate Professor, IISER Bhopal (2018-23)
Assistant Professor, IISER Bhopal (joined July 2011)
Ph.D. Mathematics, University of Houston, TX, 2011
M.S. Mathematics, University of Houston, TX, 2007
B.A. (Hons.) Mathematics, Lady Shri Ram College for Women, Delhi University, 2005
Research Interests: Ergodic Theory and Dynamical Systems, Mathematical Control Theory
Fellowships / Awards:
Research Fellowship by the National Science Foundation (NSF), USA, during Ph.D.
Teaching Fellowship for Academic Excellence by the University of Houston, Texas, USA (2006-11)
Anupama Dua Merit Scholarship for Excellence in Academics by the Department of Mathematics, Lady Shri Ram College, University of Delhi (2004 and 2005)
Best Student Award by Department of Mathematics, Lady Shri Ram College (2003, 2004 and 2005)
Second rank in South Delhi Campus, University of Delhi (2002-03)
Letters of appreciation received for exemplary teaching on multiple occasions
Professional Associations:
Member, Research Grants Committee, National Board for Higher Mathematics (NBHM), Department of Atomic Energy (DAE) (2023-Present)
Member, Committee of the National Centre for Mathematics (NCM) for Annual Foundation Schools (2023-Present)
Member, Executive Committee of Indian Women and Mathematics (IWM) (2019-Present)
Member, Coordination Group of ‘May 12 Initiative’, Committee for Women in Mathematics, International Mathematical Union (CWM-IMU) (2019-2023)
International Academic Visits:
Department of Mechanical Engineering, University of California, Santa Barbara, USA (2024)
Department of Mathematics, University of Houston, Texas, USA (2024)
Department of Mathematics, Boston University, USA (2018)
Department of Mathematics, University of Porto, Portugal (2009, 2012 and 2015)
Centre for Interdisciplinary Computational & Dynamical Analysis, Univ. of Manchester, UK (2010)
School of Computing and Mathematics, University of Exeter, UK (2009)
Extramural Funding:
‘Study of Switched Dynamical Systems using Spectral Properties of Network Topology’ funded by the SERB, Department of Science and Technology (now ANRF, DST) under Young Scientists Scheme (YSS), Sole PI, Duration: 2015-18, Amount: Rs. 15,66,000/-
‘Ergodic Properties of Open Dynamical Systems’ funded by the SERB, Department of Science and Technology under Core Research Grant Scheme (CRG), Sole PI, Duration: 2019-23, Amount: Rs. 24,44,200/-
‘Center for Research on Environment and Sustainable Technologies’ (CREST) - FAST programme funded by the Ministry of Education (MoE), Co-PI, Duration: 2014-18, Amount: Rs. 4 Crores.
‘Dynamical Properties of Countable Markov Shifts’ funded by the SERB, Department of Science and Technology under MATRICS Scheme, Sole PI, Duration: 2024-27, Amount: Rs. 6,60,000/-
Selected Research Publications:
N Agarwal, H Cheriyath and S N Tikekar, On the Perron root and eigenvectors of a non-negative integer matrix, Linear Algebra and its Applications, 698, 135-180 (2024)
S Tripathi and N Agarwal, Stability of bimodal planar linear switched systems, European Journal of Control, 70, 100767 (2023)
S Tripathi and N Agarwal, Stability of bimodal planar switched linear systems with both stable and unstable subsystems, International Journal of Systems Science, 53(15), 3254-3285 (2022)
H Cheriyath and N Agarwal, Subshifts of finite type with a hole, Journal of Australian Mathematical Society, 115(1), 73-98 (2022)
H Cheriyath and N Agarwal, On the Perron root and eigenvectors associated with a subshift of finite type, Linear Algebra and Its Applications, 633, 42-70 (2022)
N Agarwal, S Dey, N K Dhanwani and K Rajeevsarathy, Liftable mapping classes of regular cyclic covers, Houston Journal of Mathematics, 47(1), 223-243 (2021)
N Agarwal, The k-transformation on an interval with hole, Qualitative Theory of Dynamical Systems, 19(30) (2020)
H Cheriyath and N Agarwal, Product of expansive Markov maps with hole, Discrete and Continuous Dynamical Systems - Series A, 39(10), 5743-5774 (2019)
N Agarwal, Stabilizing Graph-dependent linear switched systems with unstable subsystems, European Journal of Control, 53, 20-28 (2019)
N Agarwal, A simple loop dwell time approach for stability of switched systems, SIAM Journal on Applied Dynamical Systems, 17(2), 1377-1394 (2018)
N Agarwal, C Conca, I Mishra, Approximate controllability of a semilinear elliptic problem with Robin condition in a periodically perforated domain, Electronic Journal of Differential Equations, 186, 1-24 (2017)
N Agarwal, A Rodrigues and M J Field, Dynamics near the product of planar heteroclinic attractors, Dynamical Systems, 26(4), 447-481 (2011)
N Agarwal, Inflation of strongly connected networks, Mathematical Proceedings of the Cambridge Philosophical Society, 150, 367-384 (2011)
N Agarwal and M J Field, Dynamical equivalence of network architecture for coupled dynamical systems II: general case, Nonlinearity, 23, 1269-1290 (2010)
N Agarwal and M J Field, Dynamical equivalence of network architecture for coupled dynamical systems I: asymmetric inputs, Nonlinearity, 23 1245-1268 (2010)
Other Selected Publications:
(with Kaneenika Sinha) For the joy of doing mathematics -- Interview with Rajinder Jeet Hans-Gill, Bhāvanā - The mathematics magazine (July 2024)
Movie documentary review in Bhāvanā - The mathematics magazine (October 2021): Secrets of the Surface: The Mathematical Vision of Maryam Mirzakhani
Book review in Current Science (July 2021): Elements of Dynamical Systems: Texts and Readings in Mathematics, Vol. 79. Anima Nagar, Riddhi Shah and Shrihari Sridharan (eds). Hindustan Book Agency, New Delhi, 2020
(with Amber Habib and Geetha Venkataraman) Indian Women and Mathematics, Association for Women in Mathematics: The First Fifty Years, an AWM-Springer book, Edited by Janet Beery, Sarah Greenwald, and Cathy Kessel (forthcoming)
(with Carolina Araujo, Petra Bonfert-Taylor, Mojgan Mahmoudi, Marie Françoise Ouedraogo, Olga Paris-Romaskevich, Marie-Françoise Roy, Elisabetta Strickland, and Andrea Vera Gajardo) May 12: Celebrating Women in Mathematics From One Idea to One Hundred Events, Notices of the AMS (December 2019)
(with R Shah and G Venkataraman) Maryam Mirzakhani: The Master Artist of Curved Surfaces, Resonance – Journal of Science Education, Volume 23, Issue 3 (2018), 253-262.
Publications under review:
S Tripathi and N Agarwal, Stability of reset and impulsive linear switched systems
N Agarwal, H Cheriyath and S N Tikekar, Escape rates in subshifts of finite type with a Markov measure
Teaching Areas:
Real Analysis, Complex Analysis, Measure Theory, Ergodic Theory
Selected Administrative Experience at IISER:
Dean, Faculty Affairs, 2018-19
Head, Department of Mathematics, 2014-17
Vice-Chairperson, IISERs Joint Admissions Committee, 2014
Member, IISERs Joint Admissions Committee, 2013
Convener, Heads and Deans Group, 2014-17
Chairperson, Grievance Redressal Committee, 2023-Present
Presiding Officer, Internal Complaints Committee, 2023-Present
Member, Users’ Committee for Community Creche & Pre-School, 2013-16 and 2023-Present
Member, Academic Senate, 2012-19, 2024-Present
Convener/Member, UG and PG Committee (Mathematics) 2011-13, 2025-Present
Ph.D. Supervision:
Haritha Cheriyath, Thesis Title: Ergodic Properties of Open Dynamical Systems, Graduated in 2021
Visiting Fellow at Tata Institute of Fundamental Research, Mumbai (2021-23)
Currently: Postdoc at the Centre for Mathematical Modeling, University of Chile
Swapnil Tripathi, Thesis Title: Stabilizing bimodal planar linear switched systems, Graduated in 2022
Currently: Postdoc at Kadir Has University, Turkey
Sagar Khurana, Thesis Title: Perturbations of Subshifts
Rohan Suresh Mahure, Thesis Title: Pseuso-Anosov-like Homeomorphisms in Infinite-type Surfaces
Masters Thesis Supervision:
Saraf Janhavi Neetin, ‘Fractal Geometry’ (2024-25 ongoing)
Vikas, ‘Game of Ducci Sequences’ (2022-23)
Prasanna Brahme, ‘Garden of Eden Theorem and Subshifts of Finite Type’ (2021-22)
Currently: PhD student at the University of Houston, Texas, USA
Aditya Thorat, ‘Graph-directed Iterated Function Systems and Tilings’ (2020-21)
Currently: PhD student at TIFR CAM, Bangalore
Chinmayee Talele, ‘Conjugacy in Subshifts of Finite Type’ (2020-21)
Currently: Solution Advisor at Deloitte USI, Mumbai
Shriya Gehlot, ‘Symbolic Dynamics’ (2018-19)
Currently: PhD student in Operations and Decision Sciences at IIM Ahmedabad
Mohammed Rameez Qureshi, ‘Game Theory and Strategic Bargaining’ (supervised with Arya Kumar Srustidhar Chand, Economic Sciences in 2017-18)
Currently: PhD student at PhD at Trinity College, Dublin, Ireland
Haritha Cheriyath, ‘Open Dynamical Systems’ (2016-17)
Currently: Postdoc at the Centre for Mathematical Modeling, University of Chile
Sourabh Goyal, ‘Application of Max-Plus Algebra in Designing Railway Time-table’ (2014-15)
Currently: Infosys
Mahesh Sunkula, ‘Stability Analysis of Switched Coupled Dynamical Systems’ (2012-13)
Currently: Assistant Professor of Practice in Mathematics, Purdue University, USA