Debopam Chakraborty (BITS Pilani, Hyderabad)-Thursday, Oct 1, 2026 - 5:00 PM (IST)

 Dear All,

The talk this week will be delivered by Debopam Chakraborty from BITS Pilani, Hyderabad. 

Talk Announcement:
Title:  Supersingular Isogeny Graphs: A Glimpse into Post-Quantum Cryptography

Speaker: Debopam Chakraborty (BITS Pilani). 
When: October 1, 2026, 5:00 PM- 6:00 PM IST 

Where: Zoom: Write to the organisers for the link

Live Link: https://youtube.com/live/b38R4SzW1QM?feature=share

Abstract: Elliptic curve cryptosystem (ECC) has been an integral part of the current cryptographic protocols. ECC exploits the group structure of the solutions of an elliptic curve, resembling its similarity to RSA cryptography. On the other hand, supersingular isogeny graphs, associated with a more advanced cryptosystem based on isogenies between elliptic curves, were introduced as part of post-quantum cryptographic protocols. In this elementary talk, we introduce such graphs, related arithmetic properties, including their relation to ideal class groups of number fields, and various other properties.

Abdulhafeez Abdulsalam - Thursday, Sep 17, 2026 - 5:00 PM (IST)

 The talk today will be delivered by Abdulhafeez Abdulsalam, one of the 2022 Spirit of Ramanujan Fellows.

Talk Announcement:
Title: Signed Generalized Stirling Polynomials, Nested Sums, and Hyperbolic Secant Integral Identities
Speaker: Abdulhafeez Abdulsalam
When: September 17, 2026, 5:00 PM- 6:00 PM IST (1:30 PM CEST)
Where: Zoom: 
Live Link: https://youtube.com/live/x0JJhTMq1_s?feature=share

Abstract: We study signed generalized Stirling polynomials $P_k(m,x)$ arising in closed forms for Malmsten-type hyperbolic secant integrals. Their product structure is used to prove recurrences, gamma--polygamma formulas for $P_{m-s}(m,x)$, a central vanishing identity, a finite approximation to $\cosh \pi x$, and a limit formula for $\pi$. We identify these polynomials as signed residues of the equal-period Barnes multiple zeta function, derive their reflection formula, and obtain finite parity-cancellation and Stirling cycle-number identities, including a comparison with a classical Meixner--Pollaczek orthogonal family. We also evaluate finite nested sums built from the sequence $\chi_n$. Fixing the lower bounds turns these sums into coefficient-counting problems: common lower bounds give binomial coefficients and staircase bounds give Catalan numbers. Combining these counts with known formulas for $\chi_j$ yields explicit hyperbolic-secant integral evaluations involving Catalan's constant, zeta values,and polygamma values. A Wolfram Language package accompanies the formulas. This work is joint with Michael Schlosser.

Carsten Schneider (RISC, Johannes Kepler University, Linz, Austria) - Thursday, Sep 10, 2026 - 5:00 PM (IST)

 Dear All,

The talk today will be delivered by Carsten Schneider, a Professor in the Research Institute for Symbolic Computation (RISC) and Johannes Kepler University, Linz, Austria. 

Talk Announcement:
Title: Symbolic Summation and Applications in Number Theory and Elementary Particle Physics

Speaker: Carsten Schneider (RISC and Johannes Kepler University, Linz, Austria). 
When: September 10, 2026, 5:00 PM- 6:00 PM IST (1:30 PM CEST)

Where: Zoom: Write to the organisers

Live Link: https://youtube.com/live/zLobCavbPnI?feature=share

Abstract: In this talk I will present the general summation theory of difference rings and will sketch the underlying algorithmic ideas in this setting for telescoping, creative telescoping and recurrence solving. Special emphasis is put on concrete applications coming from number theory and QCD.

Thank you.

With kind regards,

--

Gaurav Bhatnagar, Atul Dixit, Bibekananda Maji, Krishnan Rajkumar, and Manjil Saikia

Special Functions and Number Theory Seminar

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