Research
Interests:
Math: Arithmetic combinatorics, Additive number theory, Approximate groups, Algebraic graph theory, Expander graphs.
ML & AI: Topology of Neural Networks, GNNs, Transfer Learning, Quantum Machine Learning.
Research (ML & AI)
Constructing Sparse Neural Architecture with Deterministic Ramanujan Graphs (with Suryam A. Kalra, Pabitra Mitra & Biswajit Basu)
submitted
A study on polarity distributions for network learning (with Aoife Ignoe & Biswajit Basu)
International Conference on Learning Representations (ICLR) 2024 TP
Graph Expansion in Pruned Recurrent Neural Network Layers Preserve Performance (with Suryam A. Kalra, Pabitra Mitra & Biswajit Basu)
International Conference on Learning Representations (ICLR) 2024 TP
A study on the Ramanujan Graph Property of Winning Lottery Tickets (with Bithika Pal, Sudeshna Kolay, Pabitra Mitra & Biswajit Basu)
International Conference on Machine Learning (ICML) 2022
(available at PMLR - Proceedings of Machine Learning Research)
Research (Math)
On non-surjective word maps on PSL2(Fq) (with Jyoti Prakash Saha)
A spectral bound for vertex-transitive graphs and their spanning subgraphs (with Jyoti Prakash Saha)
Spectra of twists of Cayley and Cayley sum graphs (with Jyoti Prakash Saha)
Advances in Applied Mathematics
On non-minimal complements (with Jyoti Prakash Saha)
Advances in Applied Mathematics
Infinite co-minimal pairs involving lacunary sequences and generalisations to higher dimensions (with Jyoti Prakash Saha)
Infinite co-minimal pairs in the integers and integral lattices (with Jyoti Prakash Saha)
Combinatorial and Additive Number Theory, IV
Flexibility and movability in Cayley graphs
Spectral bounds of directed Cayley graphs of finite groups (with Jyoti Prakash Saha)
A Cheeger type inequality in finite Cayley sum graphs (with Jyoti Prakash Saha)
On additive co-minimal pairs (with Jyoti Prakash Saha)
Asymptotic complements in the integers (with Jyoti Prakash Saha)
On semilinear sets and asymptotic approximate groups (with Wolfgang Alexander Moens)
Advances in Applied Mathematics
Minimal additive complements in finitely generated abelian groups (with Jyoti Prakash Saha)
On minimal complements in groups (with Jyoti Prakash Saha)
Logarithmic girth expander graphs of SLn(Fp) (with Goulnara Arzhantseva)
Journal of Algebraic Combinatorics
On a Cheeger type inequality in Cayley graphs of finite groups
European Journal of Combinatorics
A diameter bound for finite simple groups of large rank (with Yilong Yang)
Journal of the London Mathematical Society
On the cop number and the weak Meyniel's conjecture for algebraic graphs (with Jyoti Prakash Saha)
Expansion in Cayley graphs, Cayley sum graphs and their twists (with Jyoti Prakash Saha)
Asymptotic behaviour of minimal complements (with Jyoti Prakash Saha)
Approximate subloops and Freiman's theorem in finitely generated commutative moufang loops
E-mail: arin<dot>math<at>gmail<dot>com