I am a tenure-track professor at the School of Mathematical and Statistical Sciences at Arizona State University. Before I was a postdoc at IHES working with Yilin Wang (2024-2025),  at Yale University (Gibbs Assistant professor 2019-2024, NSF Postdoctoral Fellow 2020-2023) and at the Institute of Advanced Study (Minerva Research Foundation Member 2018-2019). I was a graduate student in Mathematics at the University of California, Berkeley, where I received my PhD in May 2018.  My advisor was Ian Agol.
My interests are Geometry and Topology in low-dimension, mainly geometric aspects of hyperbolic 3-manifolds. Some interests and keywords are Renormalized volume, Teichmüller theory, minimal surfaces, isoperimetric problems, systoles and extremal length.   I passed my qual on March 20, 2014. Here is the transcript of what I was asked.
I also graduated from the Pontificia Universidad Católica del Perú in 2011 with a BA .  I am originally from Lima, Perú.
In Summer 2018 (UC Berkeley), Summer 2022 and Summer 2024 (Yale) I co-organized research groups for undergraduates, focusing on Fundamental domains of hyperbolic 3-manifolds, Minimal area disks and Galois rigidity of hyperbolic 3-manifolds, respectively.

Here are some slides I used for my talk at the Nearly Carbon Neutral Geometric Topology Conference: June 1-14, 2020. You can see the video here

This Fall 2025 at ASU I am teaching Linear Algebra (MAT 342) and Intermediate Real Analysis I (MAT 472), as well as an organizer for the Geometry and Topology seminar.

1. Volume comparison on finite-volume hyperbolic 3-manifolds (j. with Ruojing Jiang)

2. Minimal surface entropy and applications of Ricci flow on finite-volume hyperbolic 3-manifolds (j. with Ruojing Jiang)

3. On the stability of Ricci flow on hyperbolic 3-manifolds of finite volume (j. with Ruojing Jiang)

4. On reflections of congruence hyperbolic manifolds (j. with Sami Douba)

5. Epstein curves and holography of the Schwarzian action (j. with Yilin Wang and Catherine Wolfram)

6. Existence of Minimal Surfaces in Infinite Volume Hyperbolic 3-manifolds (j. with Baris Coskunuzer, Zheng Huang and Ben Lowe)

7. W-volume of planar domains with circular boundary (j. with Jeffrey Brock) (Submitted).

8. Universal Liouville action as a renormalized volume and its gradient flow (j. with Martin Bridgeman, Ken Bromberg and Yilin Wang) (Accepted, Duke Mathematical Journal).

9. Cheeger constant of convex co-compact hyperbolic 3-manifolds (j. with Celso Viana) (Submitted).

10. On the topology and index of minimal/Bryant framed surfaces (j. with Davi Maximo) (Submitted).

11. Uniform spectral gap and orthogeodesic counting for strong convergence of Kleinian groups (j. with Beibei Liu) Forum Math. Sigma 11 (2023), Paper No. e68, 27 pp. arxiv 

12. Peripheral birationality for 3-dimensional convex co-compact PSL2ℂ varieties (j. with Ian Agol) (Accepted, Annales de l'Institut Fourier)

13. Besse projective spaces with many diameters (j. with Ian Adelstein) J. Geom. Anal. 33 (2023), no. 9, Paper No. 277, 9 pp. arxiv 

14. Volume bounds for the canonical lift complement of a random geodesic (j. with Tommaso Cremaschi, Yannick Krifka, Dídac Martínez-Granado) Trans. Amer. Math. Soc. Ser. B 10 (2023), 988–1038. arxiv 

15. Isoperimetric interpretation for the renormalized volume of convex co-compact hyperbolic 3-manifolds (j. with Celso Viana) (Accepted, American Journal of Mathematics)

16. Mean curvature flow in homology and foliations of hyperbolic 3-manifolds (j. with Marco A. M. Guaraco, Vanderson Lima) (Accepted, American Journal of Mathematics)

17. The extremal length systole of the Bolza surface (j. with Maxime Fortier Bourque, Dídac Martínez-Granado) (Accepted, Annales Henri Lebesgue)

18. Minimal area surfaces and fibered hyperbolic 3-manifolds (j. with James Farre) Proc. Amer. Math. Soc. 150 (2022), 4931-4946 arxiv 

19. Convergence of the gradient flow of renormalized volume to convex cores with totally geodesic boundary (j. with Martin Bridgeman and Ken Bromberg) Compos. Math. 159 (2023), no. 4, 830–859. arxiv 

20. The length of the shortest closed geodesic on positively curved 2-spheres (j. with Ian Adelstein) Math. Z. 300 (2022), no. 3, 2519–2531. arxiv

21. Hyperbolic limits of Cantor set complements in the sphere (j. with Tommaso Cremaschi) Bull. Lond. Math. Soc. 54 (2022) no. 3, 1104-1119. arxiv 

22. Comparing hyperbolic and extremal lengths for shortest curves (j. with Dídac Martínez-Granado) (Submitted)

23. Upper bounds on Renormalized Volume for Schottky groups (Submitted)

24. A differential form approach to the genus of Open Riemann surfaces (j. with Jesus Zapata Samanez) (arxiv)

25. Embedded Delaunay triangulations for point clouds of surfaces in R^3 Proc. Amer. Math. Soc. 148 (2020), no. 12, 5457–5467. arxiv

26. Additive continuity of the renormalized volume under geometric limits (arxiv)

27. Continuity of the renormalized volume under geometric limits (arxiv)

28. Local convexity of renormalized volume for rank-1 cusped manifolds Math. Res. Lett. 26 (2019), no. 3, 903–919.  arxiv

29. Hyperbolic groups with few linear representations (A non-published argument of William Thurston) Pro Mathematica, 32(63), 73-81.

Email 

fevargas AT asu DOT edu

Office

 WXLR 836

Mailing Address

School of Mathematical and Statistical Sciences

Arizona State University

P.O. Box 871804

Tempe, AZ 85287-1804