CV

• Pennsylvania State University
  Associate Professor, July 2023 – present.
• Pennsylvania State University
  Assistant Professor, August 2018 – July 2023.
• University of Illinois at Chicago
  RTG Research Assistant Professor, August 2015 – August 2018.
• Institute for Advanced Study
  Member, September 2014 – June 2015.

• Massachusetts Institute of Technology
  Ph.D. in Mathematics, 2014.
• Harvard University
  A.B. in Mathematics and minor in Linguistics, 2009.
• State College Area High School

• "The volume of a divisor and cusp excursions of geodesics in hyperbolic manifolds" (with Simion Filip, Valentino Tosatti), preprint. (arXiv:2312.01012)
• "Tri-Coble surfaces and their automorphisms", Journal of Modern Dynamics 17 (2021), 267–284. (arXiv:2003.01799)
• "Higher arithmetic degrees of dominant rational self-maps" (with Nguyen-Bac Dang, Dragos Ghioca, Fei Hu, and Matthew Satriano), Annali della Scuola Normale Superiore di Pisa, Classe di Scienze Vol. XXIII (2022), 463-481.. (arXiv:1906.11188)
• "Notions of numerical Iitaka dimension do not coincide", J. Algebraic Geometry 31 (2022), 113–126. (arXiv:1904.10832)
• "A rational map with infinitely many points of distinct arithmetic degrees" (with M. Satriano), Ergodic Theory and Dynamical Systems 40 (2020), no. 11, 3051–3055. (arXiv:1809.00047)
• "Canonical heights on hyper-Kähler varieties and the Kawaguchi–Silverman conjecture" (with M. Satriano), Int. Math. Res. Not, Volume 2021, Issue 10, May 2021, Pages 7677–7714,. (arXiv:1802.07388)
• "A projective variety with discrete, non-finitely generated automorphism group", Inventiones Math. 212 (2018), no. 1, 189–211. (arXiv:1609.06391)
• "Dynamical Mordell–Lang and automorphisms of blow-ups" (with D. Litt), Algebraic Geometry 6 (2019), no. 1, 1–25. (arXiv:1604.08216)
• "Log Fano structures and Cox rings of blow-ups of products of projective spaces" (with J. Park), Proc. Amer. Math. Soc. 145 (2017), no. 10, 4201–4209. (arXiv:1604.07140)
• "Effective cones of cycles on blow-ups of projective space" (with I. Coskun and J.C. Ottem), Algebra & Number Theory 10-9 (2016), 1983–2014. (arXiv:1603.04808)
• "A few questions about curves on surfaces" (with Ciliberto, Knutsen, Lozovanu, Miranda, Mustopa, and Testa), Rend. Circ. Mat. Palermo (2016), 1–10. (arXiv:1511.06618)
• "Some constraints on positive entropy automorphisms of smooth threefolds", Ann. Sci. École Norm. Sup 51 (2018), no. 6, 1507–1547. (arXiv:1503.07834)
• "A pathology of asymptotic multiplicity in the relative setting", Math. Res. Lett. 23 (2016), no. 5, 1433–1451. (arXiv:1502.03019)
• "Curves disjoint from a nef divisor" (with J.C. Ottem), Michigan Math. J. 65 (2016), 321–332. (arXiv:1410.4467)
• "Derived-equivalent rational threefolds", Int. Math. Res. Not. (2015), 6011–6020. (arXiv:1311.0056)
• "The diminished base locus is not always closed", Compositio Math. 150 (2014), no. 10, 1729–1741. (arXiv:1212.3738)

• NSF CAREER award ("CAREER: Birational geometry and algebraic dynamics"; DMS 2142966; $450,000), 2022-2027.
• Alfred P. Sloan Research Fellowship ($70,000), 2019–2023.
• NSF Algebra and Number Theory grant ("Birational geometry and algebraic dynamics"; DMS 1700898; $132,717);, 2017–2021.
• AMS–Simons Travel Grant, 2016–2017.
• NSF Graduate Research Fellowship, 2010–2013.

• Birational geometry and dynamics, Les Diablerets, Switzerland, July 2024.
• McKernan 60th Birthday Conference, UCSD, January 2024.
• Higher Dimensional Geometry, Simons Center, October 2023.
• Recent Developments in Algebraic Geometry, Arithmetic and Dynamics, National University of Singapore (online), June 2021.
• Joint Mathematics Meetings, Special session on Arithmetic Dynamics, Denver, January 2020.
• Workshop on Interactions between Brauer Groups, Derived Categories and Birational Geometry, Banff International Research Station, November 2019.
• Simons Symposium on Algebraic, Complex and Arithmetic Dynamics, Schloss Elmau, May 2019.
• Postdoctoral Training School on Stochastic Dynamics and Hodge Theory, University of Alberta, March 2019.
• Complex Algebraic Geometry, UC San Diego, January 2019.
• Rencontre Del Duca: Groups of birational transformations, Rennes, November 2018. Three lectures on arithmetic degrees.
• Workshop in complex and arithmetic dynamics, Northwestern University, May 2018.
• Birational classification, derived categories, and moduli spaces, Oberwolfach, September 2017.
• Mini workshop on complex geometry, University of Notre Dame, April 2017.
• Local negativity and positivity, Leibniz Universität Hannover, March 2017.
• Summer school on higher dimensional algebraic geometry, University of Utah, July 2016. Four lectures on "Dynamics on higher-dimensional varieties".
• New methods in birational geometry, CIMI, Toulouse, June 2016.
• Tokyo–Princeton algebraic geometry conference, Princeton, May 2016.
• Boston College–Northeastern algebraic geometry conference, April 2016.
• Higher codimension cycles on algebraic varieties, University of Illinois at Chicago, March 2016.
• Summer research institute on algebraic geometry, University of Utah, July 2015 (contributed talk).
• New techniques in birational geometry, Stony Brook University, April 2015.
• Chow groups, motives, and derived categories, Institute for Advanced Study, March 2015.
• Recent advances in linear series and Newton–Okounkov bodies, Università degli Studi di Padova, February 2015.
• Mini-workshop: Negative curves on algebraic surfaces, Oberwolfach, February 2014.
• AMS sectional meeting, special session on the geometry of algebraic varieties, Temple University, October 2013.
• Workshop on Okounkov bodies and Nagata-type conjectures, IM PAN, Warsaw, September 2013.
• Géométrie Algébrique en Liberté, KTH, Stockholm, June 2013.
• Workshop on the minimal model program in characteristic p, AIM, Palo Alto, May 2013.

• Michigan State University Colloquium, September 2024.
• Michigan State University Algebraic Geometry Seminar, September 2024.
• Birational Geometry Seminar (UCLA, online), February 2024.
• UIC Algebraic Geometry Seminar, April 2022.
• Georgia Algebraic Geometry Seminar, February 2022.
• Versailles Algebraic Geometry Seminar, June 2021.
• Zoom Algebraic Geometry Seminar, March 2021.
• Arithmetic Dynamics International Online Seminar, October 2020.
• Penn State Algebra and Number Theory Seminar, October 2020.
• University of Michigan Colloquium, September 2020.
• NU/UIC/UofC Algebra & Geometry Seminar, July 2020.
• Iskovskikh Seminar (online), May 2020.
• Cornell Algebraic Geometry Seminar, September 2019.
• Penn State Dynamics Working Seminar, March 2019.
• Johns Hopkins Algebraic Geometry Seminar, November 2018.
• Rice Algebraic Geometry and Number Theory Seminar, October 2018.
• Penn State Algebra and Number Theory Seminar, September 2018.
• Wisconsin Algebraic Geometry Seminar, May 2018.
• Purdue Algebraic Geometry Seminar, November 2017.
• Princeton Algebraic Geometry Seminar, September 2017.
• Stanford Algebraic Geometry Seminar, May 2017.
• UIUC Algebraic Geometry Seminar, March 2017.
• Penn State Geometry and Physics Seminar, January 2017.
• Northwestern Algebraic Geometry Seminar, January 2017.
• Tufts Colloquium, December 2016.
• Michigan Algebraic Geometry Seminar, November 2016.
• UCLA Algebra Seminar, October 2016.
• UCLA Colloquium, October 2016.
• UIC Algebraic Geometry Seminar, September 2016.
• IUPUI Dynamics Seminar, April 2016.
• Utah Algebraic Geometry Seminar, February 2016.
• University of Chicago Algebraic Geometry Seminar, February 2016.
• UIC Algebraic Geometry Seminar, January 2016.
• Northwestern Geometry and Physics Seminar, November 2015.
• Columbia Algebraic Geometry Seminar, October 2015.
• Notre Dame Algebraic Geometry/Commutative Algebra Seminar, September 2015.
• Johns Hopkins Algebraic Geometry Seminar, April 2015.
• Michigan Complex Analysis, Dynamics and Geometry Seminar, March 2015.
• UIC Algebraic Geometry Seminar, March 2015.
• Missouri Geometry/Topology Seminar, November 2014.
• Princeton/IAS Algebraic Geometry Seminar, October 2014.
• Stanford Algebraic Geometry Seminar, May 2014.
• Penn State Algebra and Number Theory Seminar, April 2014.
• UCSD Algebraic Geometry Seminar, December 2013.
• UIC Algebraic Geometry Seminar, November 2013.
• Rice Algebraic Geometry Seminar, October 2013.
• Stony Brook Algebraic Geometry Seminar, September 2013.
• Michigan Algebraic Geometry Seminar, March 2013.
• Princeton Algebraic Geometry Seminar, February 2013.
• Harvard/MIT Algebraic Geometry Seminar, November 2012.

• Awards and training:
• Math, Stat, & CS Teaching Award, Fall 2016.
  Departmental teaching award.
• UIC Teaching Scholar, Spring 2016.
  Selected for semester-long mentorship on effective teaching, with emphasis on active learning.
• Charles and Holly Housman Award for Excellence in Teaching, MIT, 2013.
  For "skill and dedication in undergraduate teaching".
• MIT graduate student teaching certificate, 2013.
  6-week training in university teaching.
• Harvard University Certificate of Distinction in Teaching, 2009.
• Advising:
• Advising Sebastian Calvo, PhD 2024. Now assistant teaching professor at Towson University..
• Advising Qitong Jiang, PhD expected 2025.
• Advising Sofya Bykova, PhD expected 2026.
• Co-advising Andy Biy-Kuang Day (with Sergei Tabachnikov), PhD expected 2026.
• Advising Louis Diaz, PhD expected 2027.
• Advising Zheng Xu, PhD expected 2027.
• Algebraic Geometry reading group, 2022-2025.
  Supervise a reading group with students in algebraic geometry every semester. Currently seven students attending weekly. Topics have including moduli of curves, positivity of vector bundles, birational geometry, the Cremona group, etc..
• Reading courses, 2020-2024.
  Supervised many formal (Math 596) and informal reading courses with individual graduate students..
• Undergraduate research, 2020-2022.
  Supervised four undergraduate research projects involving ten students, several of whom have gone to to graduate school in mathematical fields..
• PSU:
• Instructor, Math 436 (Linear algebra), Fall 2024.
• Instructor, Advanced Topics 2 (Topics in advanced mathematics; taught at State College Area High School), Fall 2022–Spring 2023.
• Instructor, Math 468 (Mathematical Coding Theory), Fall 2023.
• Instructor, Math 548 (Algebraic geometry II), Fall 2022.
• Instructor, Advanced Topics 2 (Topics in advanced mathematics; taught at State College Area High School), Fall 2021–Spring 2022.
• Instructor, Math 436 (Linear algebra), Spring 2022.
• Instructor, Math 467 (Primality and factorization), Fall 2021.
• Instructor, Math 436 (Linear algebra), Spring 2021.
• Instructor, Math 548 (Algebraic geometry II), Fall 2020.
• Instructor, Math 467 (Primality and factorization), Fall 2020.
• Instructor, Math 401 (Introduction to analysis), Spring 2020.
• Instructor, Math 547 (Algebraic geometry), Fall 2019.
• Instructor, Math 436 (Linear algebra), Spring 2019.
• Instructor, Math 436 (Linear algebra), Fall 2018.
• UIC:
• Instructor, Math 121 (Precalculus), Fall 2017.
• Instructor, Math 210 (Calculus III), Spring 2017.
• Instructor, Math 181 (Calculus II), Fall 2016.
• Instructor, Math 553 (Algebraic geometry II), Spring 2016.
• Instructor, Math 310 (Applied linear algebra), Fall 2015.
• MIT:
• Instructor, 18.089 (Review of calculus), Summer 2014.
• Instructor, 18.089 (Review of calculus), Summer 2013.
• Teaching assistant, 18.06 (Linear algebra), Spring 2013.
• Teaching assistant, 18.03 (Differential equations), Spring 2012.
• Teaching assistant, 18.02 (Multivariable calculus), Spring 2011.
• Harvard:
• Course assistant, Math 25b (Real analysis), Spring 2009.
• Course assistant, Math 113 (Complex analysis), Spring 2008.

• Thesis committee member, July 2022.
  Alexandra Kuznetsova, École Polytechnique Centre de Mathématiques Laurent Schwartz and Higher School of Economics
• Organizer, Special Session on the Geometry and Arithmetic of Algebraic Varieties, PSU (online), October 2020.
  AMS sectional meeting
• Organizer, Workshop on Higher Codimension Cycles in Algebraic Geometry, UIC, March 2016.
  NSF RTG-funded workshop for graduate students and postdocs
• Organizer, Workshop on SYZ mirror symmetry, Big Bear, CA, May 2013.
  NSF RTG-funded workshop