Aekta Aggarwal - UG Programmes | Indian Institute of Management Bangalore

Visiting Faculty

Decision Sciences

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Curriculum Vitae 📄

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Summary

I am an applied mathematician working on partial differential equations, particularly hyperbolic and nonlocal conservation laws. I develop numerical algorithms with rigorous error and stability guarantees and study their applications in traffic and crowd dynamics and opinion dynamics. I also explore and teach quantum computing for business and technology.

I earned a B.A. (Hons.) in Mathematics from Lady Shri Ram College and an integrated M.Sc.–Ph.D. from the TIFR Centre for Applicable Mathematics, followed by postdoctoral research at INRIA Sophia Antipolis. Before joining IIMB, I was a faculty member in the Operations Management and Quantitative Techniques area at IIM Indore from 2015, most recently as Associate Professor. My visiting research positions include NTNU, Penn State, the University of Maryland, Universidad del Bío-Bío and the University of Würzburg. Outside research, I am a member of the NCERT team developing the new Class XI–XII mathematics textbooks, and I love making mathematics fun and approachable, helping learners of every age go from being scared of maths to loving it.

Accomplishments

Research Interests: Partial differential equations; hyperbolic and nonlocal conservation laws; numerical analysis; mathematical modelling of traffic, crowd and opinion dynamics; classical, machine learning and quantum-inspired algorithms for PDEs.

Working Papers and Preprints

Aggarwal, A., Aswini, N.K., Kumar, S. and Vaidya, G., “Stability estimates for systems of nonlocal balance laws with memory”, arXiv:2605.01709.
Aggarwal, A., and Vaidya, G. (2026), “Systems of nonlocal conservation laws with memory and their zero retention limit”, arXiv:2604.26877.

Publications

Aggarwal, A., Vaidya, G. and Holden, H. (2025), “Error estimates for systems of nonlocal balance laws modelling dense multilane vehicular traffic”, Nonlinearity. DOI: 10.1088/1361-6544/ae0b24
Aggarwal, A. and Vaidya, G. (2024), “Convergence of the numerical approximations and well-posedness: Nonlocal conservation laws with rough flux”, Mathematics of Computation. DOI: 10.1090/mcom/3976
Aggarwal, A., Veerappa Gowda, G.D. and Sudarshan Kumar, K. (2024), “A well-balanced second-order finite volume approximation for a coupled system of granular flow”, Journal of Computational Physics. DOI: 10.1016/j.jcp.2024.113068
Aggarwal, A., Vaidya, G. and Holden, H. (2024), “Well-posedness and error estimates for coupled systems of nonlocal conservation laws”, IMA Journal of Numerical Analysis. DOI: 10.1093/imanum/drad101
Aggarwal, A., Vaidya, G. and Holden, H. (2024), “On the accuracy of the finite volume approximations to nonlocal conservation laws”, Numerische Mathematik. DOI: 10.1007/s00211-023-01388-2
Vijesh, A., Aggarwal, A. and Roy, R. (2022), “Adapted monotone iterative finite volume algorithms for coupled systems of first order non-linear PDEs”, Zeitschrift für angewandte Mathematik und Mechanik. DOI: 10.1002/zamm.202200022
Aggarwal, A., Vaidya, G. and Veerappa Gowda, G.D. (2021), “Positivity-preserving numerical scheme for hyperbolic systems with δ-shock solutions and its convergence analysis”, Zeitschrift für angewandte Mathematik und Physik 72: 165. DOI: 10.1007/s00033-021-01590-y
Anand, V., Verma, L., Aggarwal, A., Nanjundappa, P. and Rai, H. (2021), “COVID-19 and psychological distress among Indians: A predictive model”, PLOS ONE 16(8): e0255683. DOI: 10.1371/journal.pone.0255683
Aggarwal, A., Sahoo, M.R., Sen, A. and Vaidya, G. (2020), “Solutions with concentration for conservation laws with discontinuous flux and its applications to numerical schemes for hyperbolic systems”, Studies in Applied Mathematics 145(2): 247–290. DOI: 10.1111/sapm.12319
Adimurthi, Aggarwal, A. and Veerappa Gowda, G.D. (2016), “Godunov-type numerical methods for a model of granular flow on open tables with walls”, Communications in Computational Physics 20(4): 1071–1105. DOI: 10.4208/cicp.290615.060516a
Adimurthi, Aggarwal, A. and Veerappa Gowda, G.D. (2016), “Godunov-type numerical methods for a model of granular flow”, Journal of Computational Physics 305: 1083–1118. DOI: 10.1016/j.jcp.2015.09.036
Aggarwal, A. and Goatin, P. (2016), “Crowd dynamics through non-local conservation laws”, Bulletin of the Brazilian Mathematical Society, New Series 47(1): 37–50. DOI: 10.1007/s00574-016-0120-7
Aggarwal, A., Colombo, R.M. and Goatin, P. (2015), “Nonlocal systems of conservation laws in several space dimensions”, SIAM Journal on Numerical Analysis 53(2): 963–983. DOI: 10.1137/140975255

Integrated M.Sc.–Ph.D. in Mathematics, TIFR Centre for Applicable Mathematics, Tata Institute of Fundamental Research, Bengaluru, 2006–2014.
B.A. (Hons.) Mathematics, Lady Shri Ram College for Women, University of Delhi, 2003–2006.

ANRF ARG-MATRICS Grant (₹25 lakh, 5 years), 2025–
Toyota Mobility Foundation STAMP Challenge (₹20.72 lakh), joint with IIT BHU and IIIT Tirupati, 2025–
Visiting Researcher Grant, Center for Mathematical Modeling, Universidad del Bío-Bío, Chile, 2024–25
National Board for Higher Mathematics and TIFR grant for a research visit to Brown University, USA, 2011–12

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