معرفی
Melanie Matchett Wood is the William Caspar Graustein Professor of Mathematics at Harvard University. Her research spans number theory, arithmetic statistics, algebraic geometry, and probability theory, with a focus on distributions of class groups, Galois groups of unramified extensions, and random algebraic structures. She has been supported by prestigious awards including the Packard Fellowship, the NSF Waterman Award, and the MacArthur Fellowship.
Her work connects number theory to topology through function field analogs, studying moduli spaces of curves and their statistical properties. She has made significant contributions to understanding the universality of random matrix cokernels and their applications to sandpile groups of graphs. Her editorial roles include the Journal of the American Mathematical Society and Algebra and Number Theory.
Recent publications emphasize arithmetic topology, proving universality theorems for 3-manifold groups, and developing new heuristics for class group torsion. She organizes seminars on arithmetic statistics and topology-number theory interactions. Her teaching includes advanced courses like Algebraic Number Theory and Class Field Theory, with research supervision spanning PhD and undergraduate projects.
Scientific Awards:
- Packard Fellowship for Science and Engineering
- National Science Foundation Waterman Award
- MacArthur Fellowship
