I am currently interested in cryptography and computational complexity. In particular, I am working on the fine-grained complexity of lattice problems and pre-image samplable trapdoor functions. I am also interested in quantum cryptography and quantum computing. My goal is to understand and address fundamental challenges in cryptography using tools from theoretical computer science and mathematics.
In the past, I have worked on projects related to discrete mathematics and computer architecture and systems.
published
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Energy-Efficient Accelerator Design for Language Models for Edge Computing
Tom Glint, Bhumika Mittal, Santripta Sharma, and 6 more authors
In Philosophical Transactions A, 2024
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On the Existence of Balanced Generalized de Bruijn Sequences
Bhumika Mittal, Haran Mouli, Eric Tang, and 1 more author
In Discrete Mathematics, 2023
A balanced generalized de Bruijn sequence with parameters (n,l,k) is a cyclic sequence of n bits such that (a) the number of 0’s equals the number of 1’s, and (b) each substring of length l occurs at most k times. We determine necessary and sufficient conditions on n,l, and k for the existence of such a sequence.
exposition
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The Fibonacci Sequence: A Comprehensive Review
Bhumika Mittal, Shamli Manasvi, Satya Sreevani Bh, and 1 more author
2020