Homepage of Emily Autumn Windes



I am a Senior Lecturer of Mathematics at New Uzbekistan University. I graduated from the University of Oregon with my PhD in pure math in June, 2025.

My advisors are Boris Botvinnik and Aleksander Doan

Here is my CV .


Research Interests
  • differential geometry
  • gauge theory in higher dimensions
  • manifolds with special holonomy

Papers
1. (preprint, joint with Izar Alonso and Jesse Madnick) Gauge theory on $T^*\mathbb{C}P^2$: Explicit Sp(2)-instantons, HYM connections, and Spin(7)-instantons

2. (joint with Jesse Madnick) On Sp(n)-Instantons and the Fourier-Mukai Transform of Complex Lagrangians -Communications in Mathematical Physics (2025) 406:216.

3. Transversality for perturbed special Lagrangian submanifolds - Annals of Global Analysis and Geometry (Volume 68, article number 6, 2025)

4. (joint with U. Yildirim) Two-Frame Fields on Simply Connected Spin 7-Manifolds - Proceedings of the 12th ISAAC Congress

Teaching (University of Rochester)


Teaching (University of Oregon)

Teaching (New Uzbekistan University)

Contact

Email (work): e.windes (a t) newuu (d o t) uz
Note: I recently changed my phone number. Please email me to request the new number if you are trying to get in touch.