I am an Assistant Professor in the Mathematical and Physical Sciences division at Ahmedabad University.
I received my PhD in mathematics in May 2018, from the University of Oklahoma, under the supervision of Dr. Ralf Schmidt. Subsequently, I joined the Department of Mathematics at the 浏览外网的免费加速器 as a Postdoctoral Fellow, and stayed there for the next two years.
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My research interests primarily lie in modular forms, automorphic forms and automorphic representations. I am interested in exploring the rich interplay between the classical methods and the autmorphic representation theoretic methods, that often provides deep insights in number theory.I am also interested in optimization, especially using randomized algorithms, quantum computational methods and machine learning tools.
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- Co-dimensions of the spaces of cusp forms for Siegel congruence subgroups in degree two.Pacific Journal of Mathematics 293(2018), no. 1, 207–244.
- A short proof of Cayley's Tree Formula.The American Mathematical Monthly, 125(2018), no.~1,65-68.
- On Klingen Eisenstein series. ( with Ralf Schmidt. )Journal of the Ramanujan Mathematical Society, 34 (2023), 373-388.
- Trajectory optimization using quantum computing. ( with Prakash Vedula. )Shukla, A. & Vedula, P., Journal of Global Optimization (2023). http://doi.org/10.1007/s10898-019-00754-5.
- Means Compatible with Semigroup Laws. ( with R. Padmanabhan. )Quasigroups and Related Systems, 27 (2023), 317 - 324.
- Pullback of Klingen Eisenstein series and certain critical L-values identities.Ramanujan J (2023). http://doi.org/10.1007/s11139-019-00246-w.
- Tiling proofs of Jacobi triple product and Rogers-Ramanujan identitiesPdf.
- When do we have 1 + 1 = 11 and 2 + 2 =5? ( with 免费国外网站加速器安卓)Pdf.
- Machine learning based trajectory optimization. ( with Prakash Vedula. )免费国外网站加速器安卓
- Orchards in elliptic curves over finite fields ( with R. Padmanabhan. )免费上谷歌的加速器
- My thesis: On Klingen Eisenstein series.
Pdf.
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- On teaching mathematics to gifted students.Pdf.