Lawford Hatcher
Mathematics · Indiana University
Publications
11
Citations
4
Est. group size
—
Recurring co-author estimate
Active years
8
Publishing since 2019
Lawford Hatcher works in mathematical analysis, focusing on how heat and vibration patterns behave inside geometric shapes. Much of the research addresses the 'hot spots conjecture'—a long-standing question about where the hottest and coldest points settle inside a domain over time—across different types of regions, including curved (hyperbolic) surfaces and non-convex polygons. The work combines the study of eigenvalues and eigenfunctions (mathematical quantities describing natural frequencies and shapes of solutions) with geometry.
After minimal activity for most of the decade, publication output grew notably starting in 2024, averaging about two per year over the last five years.
Generated by claude-opus-4-8 from public bibliographic data · Jul 11, 2026
- Hot spots in convex hyperbolic planar domains with small eigenvalues
arXiv (Cornell University) · 2026
- Hot spots in convex hyperbolic planar domains with small eigenvalues
arXiv (Cornell University) · 2026
- A hot spots theorem for the mixed eigenvalue problem with small Dirichlet region
Journal of Spectral Theory · 2025
- The Hot Spots Conjecture for Some Non-Convex Polygons
SIAM Journal on Mathematical Analysis · 2025
- Hot spots in domains of constant curvature
arXiv (Cornell University) · 2025
- Geometric inequalities between Dirichlet and Neumann eigenvalues
arXiv (Cornell University) · 2025
- First mixed Laplace eigenfunctions with no hot spots
Proceedings of the American Mathematical Society · 2024
- The hot spots conjecture for some non-convex polygons
arXiv (Cornell University) · 2024
- First mixed Laplace eigenfunctions with no hot spots
arXiv (Cornell University) · 2024
- A hot spots theorem for the mixed eigenvalue problem with small Dirichlet region
arXiv (Cornell University) · 2024
- What’s in a Seed?: Identifying Archaeological Chili Pepper Remains from Mesoamerica
The 84th Annual Meeting of the Society for American Archaeology · 2019
- arXiv (Cornell University)×7
- Proceedings of the American Mathematical Society×1
- Journal of Spectral Theory×1
- The 84th Annual Meeting of the Society for American Archaeology×1
- SIAM Journal on Mathematical Analysis×1
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 11, 2026.
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