Mathematical and Physical Sciences

Professor Ashwin Pande is an Assistant Professor of Mathematics in the School of Arts and Sciences, Ahmedabad University. Apart from teaching, he conducts research in Mathematics and its applications in String Theory. He is also interested in Mathematics Education and Visualizing Mathematics on the computer, 

He has worked on Pattern Formation in Nonequilibrium Systems, Numerical Physics and Scientific Data Visualisation.

Professor Pande has a Doctorate in Pure Mathematics from the Department of Mathematics, University of Maryland, College Park. For this thesis, he worked on Topological T-duality with Professor Jonathan Rosenberg at the Department of Mathematics, the University of Maryland at College Park. He also has an MA in Mathematics from the Department of Mathematics, the University of Maryland at College Park.

In addition, he has a Doctorate in Physics from the Physics Department, Indian Institute of Science, Bangalore. For his doctoral thesis, he studied some spatiotemporally chaotic states of some model Nonequilibrium Systems with Professor Rahul Pandit in the Theory Group (now the Centre for Condensed Matter Theory), Physics Department, IISc Bangalore. Dr Pande also has an MS degree in Physics from the Physics Department, IISc Bangalore.

Professor Pande was a Visiting Assistant Professor at the School of Mathematical Sciences, NISER, Bhubaneshwar between 2014-2016. He was granted a Postdoctoral Fellowship at the Mathematics Department, HRI Allahabad from 2011-2014. He was a Postdoctoral Research Fellow at the String Theory Group, RSPHYSSE, ANU Canberra with Professor P. Bouwknegt from 2007-2009.

In addition to conducting research into subjects listed above, Dr Pande is interested in developing a broad agenda for teaching interdisciplinary courses which try to link mathematics and physics to various subjects: At Ahmedabad University he has designed and taught the full Calculus Sequence, and other courses in Elementary College Algebra, Applied Statistics, Business Calculus and Introductory Differential Geometry. 

Professor Ashwin S. Pande conducts research on problems in Pure Mathematics connected to Theoretical Physics. His current research is on Topological T-duality, a relatively new branch of Topology and Geometry inspired by the T-duality symmetry of String Theory. He recently extended the work of Bunke and co-workers on applications of the theory of Topological Stacks to Topological T-duality. Currently, he is interested in studying the crossed product of locally trivial bundles with fiber a strongly self-absorbing algebra by an action of R as a possible extension of Topological T-duality.

His earlier research is on Spatiotemporal Chaos in Nonequilibrium Systems, a by-now well-established part of both Nonequilibrium Physics and Chaos Theory.

• Ashwin S. Pande, `Topological T-duality and a Gysin Sequence', Adv. Theor. Math. Phys., 22, 6, pp. 1535-1591, (2018) DOI Identifier: 10.4310/ATMP.2018.v22.n6.a5
• Ashwin S. Pande, `Topological T-duality, Automorphisms and Classifying Spaces', Jour. Geom. Phys., 82, pp. 98-123, (2014); Reviewed in Math. Rev. MR3206643 .
• P. Bouwknegt and Ashwin S. Pande, `Topological T-duality and T-folds', Adv. Theor. Math. Phys., 13; 5, (2009), pp. 1519-1539; Reviewed in Math. Rev. MR2369414 (2008j:53040).
• Ashwin S. Pande, `Topological T-duality and Kaluza-Klein Monopoles', Adv. Theor. Math. Phys., 12; (2008), pp. 185-215; Reviewed in Math. Rev. MR2672468 (2011g:81256).
• R. Pandit, A. Pande, S. Sinha and A. Sen `Spiral Turbulence and Spatiotemporal Chaos:Characterization and Control in Two Excitable Media', Physica A, 306, 211(2002).
• S. Sinha, A. Pande and R. Pandit, `Defibrillation via the Elimination of Spiral Turbulence', Phys. Rev. Lett., 86; 3678-3681; (2001).
• A. Pande and R. Pandit, `Spatiotemporal chaos and nonequilibrium transitions in a model excitable medium', Phys. Rev. E, 61; 6448-6460; (2000).

Conference Proceeding:

• A. Pande, R. Pandit, `Spatiotemporal chaos in a model for COoxidation on Pt(110)', in Structure and Dynamics of Materials in the Mesoscopic Domain,edited by M. Lal, R.A. Mashelkar, B.D. Kulkarni and V.M. Naik, ISBN: 978-1-96094-190-0, Imperial College Press, (1999).
• A. Pande, S. Sinha and R. Pandit, `Spiral Turbulence: From the Oxidation of CO on Pt(110) to Ventricular Fibrillation', Jour. Ind. Inst. Sci., 79; 31(1999).
• Sujan K. Dhar, Anirban Sain, Ashwin Pande, Rahul Pandit, `Some recent advances in the theory of homogeneous isotropic turbulence', Pramana, 48; 1; 325-364,(1997).

Professor Ashwin S. Pande is interested in developing a broad agenda for teaching interdisciplinary courses which try to link mathematics and physics to various subjects. At Ahmedabad University he has designed and taught courses on introductory biomathematics, business calculus, hypothesis testing and its applications to business mathematics and applications of elementary statistics and data visualization to environment and climate change.

He has developed and taught the full calculus sequence (Introductory Calculus, Intermediate Calculus and Multivariable Calculus) at Ahmedabad University. He has also desgined ant taught courses in introductory college algebra at Ahmedabad University. He was associated with the Environment and Climate Change Foundation Programme at Ahmedabad University from its start and developed and taught the Data Analysis component of Module 2 for Environment and Climate Change Foundation Programme for several years.

He designed the Mathematics Minor Programme at Ahmedabad University.

He has designed and taught a course on Introductory Differential Geometry with a strong computer and project component. The course was designed to show the students interdisciplinary applications of Differential Geometry across Physics, Engineering, Chemistry and Biology.