Saugata Basu
Computer Science · Purdue University West Lafayette
Publications
208
Citations
4,044
Est. group size
~2
Recurring co-author estimate
Active years
34
Publishing since 1992
Saugata Basu works in computational and real algebraic geometry, developing mathematical theory and algorithms for analyzing shapes and equations defined by polynomials (algebraic expressions involving powers of variables). This includes studying the complexity of computations on these shapes, topics like optimization (finding best solutions under constraints) and topological data analysis (methods for understanding the shape of complex data, including applications to biological 'omics' data). This work is largely theoretical/mathematical, with some recent applications to data science and quantum computing.
Publication output has grown over the last decade, rising from about 4 papers/year in 2017 to a peak of around 12-13 in 2022 and 2024, with a recent dip in 2025.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- Probing omics data via harmonic persistent homology
Scientific Reports · 2025
- On the convergence of critical points on real algebraic sets and applications to optimization
arXiv (Cornell University) · 2025
- Thom-Milnor bounds for smooth manifolds
arXiv (Cornell University) · 2025
- Harmonic Persistent Homology
SIAM Journal on Applied Algebra and Geometry · 2024
- On the complexity of analyticity in semi-definite optimization
Advances in Applied Mathematics · 2024
- Improved effective Łojasiewicz inequality and applications
Forum of Mathematics Sigma · 2024
- Efficient Computation of a Semi-Algebraic Basis of the First Homology Group of a Semi-Algebraic Set
Discrete & Computational Geometry · 2024
- On the complexity of analyticity in semi-definite optimization
UNC Libraries · 2024
- Cohomological VC-density: Bounds and Applications
arXiv (Cornell University) · 2024
- Bounds on the realizations of zero-nonzero patterns and sign conditions of polynomials restricted to varieties and applications
arXiv (Cornell University) · 2024
- Improved effective Łojasiewicz inequality and applications
UNC Libraries · 2024
- Complexity and speed of semi-algebraic multi-persistence
arXiv (Cornell University) · 2024
- Semi-Algebraic Structure and Central Paths in Nonlinear Optimization
ACM communications in computer algebra · 2024
- New Directions in Real Algebraic Geometry
Oberwolfach Reports · 2023
- Towards quantum-enabled cell-centric therapeutics
arXiv (Cornell University) · 2023
- arXiv (Cornell University)×32
- Discrete & Computational Geometry×4
- SIAM Journal on Applied Algebra and Geometry×3
- Forum of Mathematics Sigma×3
- Mathematische Annalen×2
- Bernd Ulrich
Mathematics · Purdue University West Lafayette
- Irena Swanson
Mathematics · Purdue University West Lafayette
- Léo Jimenez
Computer Science · The Ohio State University
- Lauren L. Rose
Engineering · The Ohio State University
- Giulio Caviglia
Mathematics · Purdue University West Lafayette
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 20, 2026.
Claim or correct this profile