معرفی
Michael Kemeny serves as an Assistant Professor and Honors Co-Chair in the Department of Mathematics at the University of Wisconsin-Madison, where he maintains an active research program bridging algebraic geometry and commutative algebra with applications to geometric structures.
Education:
- PhD in Mathematics, Universität Bonn (2015), supervised by Daniel Huybrechts
Research Interests:
Kemeny specializes in moduli spaces of curves, stable maps, K3 surfaces, and Abelian varieties, with particular emphasis on syzygies of coordinate rings. His work investigates foundational questions in Green's conjecture, Brill-Noether theory, and the geometry of canonical curves, revealing deep connections between algebraic invariants and geometric properties. He employs techniques from commutative algebra to analyze minimal free resolutions and Betti numbers, advancing understanding of curve singularities and higher-dimensional varieties.
Publication Trends:
His 15 most recent publications (2013-2025) demonstrate sustained focus on syzygy theory and moduli spaces, with recent breakthroughs including a proof of generic Green's conjecture in odd genus (2025) and extremal syzygies of projective space (2023). These works extend his decade-long investigation into canonical curve syzygies, where he resolved cases of Green-Lazarsfeld secant conjecture and established new results for curves of arbitrary gonality. His research consistently addresses the interplay between algebraic invariants and geometric structures across multiple subfields.
Scientific Awards:
No scientific awards were mentioned in the provided text.
Advising:
- John Cobb (PhD 2024), joint supervision with Daniel Erman, currently NSF postdoctoral fellow at Auburn University
- Peter Wei (PhD 2025), currently postdoctoral researcher at the University of Arkansas
Kemeny maintains an active advising role with both current and recent doctoral students, focusing on algebraic geometry and arithmetic geometry topics including syzygy geometry and Brill-Noether theory. No research grants or laboratory affiliations were specified in the source materials.
