# Curriculum Vitae of James Pascaleff

## Contact

University of Illinois at Urbana-Champaign

Department of Mathematics

1409 W. Green Street

Urbana, IL 61801

Office: 341B Illini Hall

Telephone: +1 217 244 7277

Email: jpascale@illinois.edu

Website: jpascale.pages.math.illinois.edu

## Employment

- August 2014–Now: University of Illinois at Urbana-Champaign
- Assistant Professor (From August 16, 2020: Associate Professor)
- August 2011–August 2014: University of Texas at Austin
- Instructor and RTG Postdoctoral Fellow

### Visiting positions

- January–April 2017: Institute for Advanced Study, Princeton, NJ
- Member, School of Mathematics
- September–November 2015: Institut Mittag-Leffler, Djursholm, Sweden
- Participant in the program “Sympletic Geometry and Topology”
- June–August 2014: Max-Planck-Institut für Mathematik, Bonn
- Guest
- July–August 2013: King’s College London
- Visiting Research Associate

## Education

- Ph.D. in Mathematics (2011) Massachusetts Institute of Technology
- Thesis:
*Floer cohomology in the mirror of the projective plane and a binodal cubic curve*. (Defended April 15, 2011; advisor: Denis Auroux) - A.B. in Mathematics (2006) University of Chicago
- with honors.

## Grants awarded

- 2014–2017 NSF award,
*Symplectic Cohomology, log Calabi–Yau Varieties, and equivariant Lagrangian Submanifolds.* - 2019–2024 Simons Foundation, Collaboration Grant,
*Fukaya categories: wall-crossing, quantization, and higher categorical structures.*

## Honors & fellowships

- RTG Postdoctoral Fellowship (part of NSF grants DMS-0636557 and DMS-1148490) (2011–2014)
- MIT Presidential Fellowship (2006–2007)
- Paul R. Cohen Memorial Prize (Senior Mathematics prize at the University of Chicago) (2006)
- Phi Beta Kappa, member, Beta of Illinois chapter (2005)
- Sigma Xi, associate member, University of Chicago chapter (2005)
- University of Chicago National Merit Scholarship (2002–2006)

## Research interests

Symplectic geometry and topology, Floer theory, and homological mirror symmetry.

## Publications

- Floer cohomology in the mirror of the projective plane and a
binodal cubic curve.
*Duke Math. J.*Volume 163, Number 13 (2014), pp. 2427–2516. (arXiv:1109.3255) - On the symplectic cohomology of log Calabi–Yau surfaces.
*Geom. Topol.*Volume 23, Issue 6 (2019), pp. 2701–2792. (arXiv:1304.5298) - (with Yankı Lekili) Floer cohomology of g-equivariant Lagrangian branes.
*Compositio Math.*Volume 152, Issue 05 (2016), pp. 1071–1110. (arXiv:1310.8609) - (with Nicolò Sibilla) Topological Fukaya category and mirror symmetry for punctured surfaces.
*Compositio Math.*Volume 155, Issue 3 (2019), pp. 599–644. (arXiv:1604.06448) - (with Dmitry Tonkonog) The wall-crossing formula and Lagrangian mutations.
*Adv. Math.*Volume 361, 12 February 2020, 106850. (arXiv:1711.03209) - Poisson geometry, monoidal Fukaya categories, and commutative Floer cohomology rings. (arXiv:1803.07676, submitted)

## Talks

- Dec. 2010, Northern California Symplectic Geometry Seminar, Stanford University.

*Floer cohomology in the mirror of CP*^{2}relative to a conic and a line. - Jan. 2011, Workshop on Homological Mirror Symmetry and Related
Topics, University of Miami (Florida).

*Floer cohomology in the mirror of CP*^{2}relative to a conic and a line. - Jan. 2011, Gauge Theory and Topology Seminar, Harvard
University.

*Floer cohomology in the mirror of CP*^{2}relative to a conic and a line. - Feb. 2011, Symplectic Geometry, Gauge Theory and
Categorification Seminar, Columbia University.

*Floer cohomology in the mirror of CP*^{2}relative to a conic and a line. - Apr. 2011, Geometry Seminar, University of Texas at Austin.

*Floer cohomology in the mirror of CP*^{2}relative to a conic and a line. - May 2011, Equivariant Quantum Cohomology, Mirror Symmetry and
Symplectic Geometry Workshop, Simons Center for Geometry and
Physics.

*On Wrapped Floer Cohomology and Mirror Symmetry for Complements of Divisors.* - Oct. 2011, Geometry Seminar, Texas A&M University.
- Dec. 2012, Mirror Symmetry Seminar, Kansas State University.

*Some apects of Floer theory on Log Calabi-Yau surfaces.* - Mar. 2013, Differential Geometry Seminar, Cambridge University.

*On the symplectic geometry of Log Calabi-Yau surfaces.* - May 2013, Geometry Seminar, University of Texas at Austin.

*On the symplectic cohomology of log Calabi-Yau surfaces.* - Nov. 2013, Geometry Seminar, Texas A&M University.

*Symplectic cohomology and equivariant Lagrangian submanifolds.* - Nov. 2013, Geometry and Topology Seminar, University of Massachusetts Amherst.

*Symplectic cohomology and equivariant Lagrangian submanifolds.* - Jan. 2014, Conference on Homological Mirror Symmetry, University of Miami (Florida).

*Equivariant Lagrangian branes and representations.* - Feb. 2014, Colloquium, University of Illinois at Urbana-Champaign.

*Equivariant structures in mirror symmetry and distinguished bases from symplectic geometry.* - May 2014, Equivariant Gromov-Witten Theory and Applications workshop, Simons Center for Geometry and Physics.

*Symplectic cohomology and equivariant Lagrangian branes.* - Jul. 2014, Mathematical Landings: A Norman conference in geometry and representation theory, Lingeard, France.

*Symplectic cohomology and equivariant Lagrangian branes.*Media coverage. - Sep. 2014, Symplectic and Poisson Geometry Seminar, University of Illinois at Urbana-Champaign.

*Symplectic cohomology and its role in mirror symmetry.* - Oct. 2014, Princeton/IAS Symplectic Geometry Seminar, Institute for Advanced Study.

*Equivariant structures in mirror symmetry.* - Dec. 2014, UIUC-WUSTL Symplectic Geometry Seminar, Urbana, Illinois.

*Symplectic cohomology of log Calabi-Yau manifolds.* - Jan. 2015, Topology and Geometry Seminar, Hebrew University, Jerusalem.

*Equivariant Lagrangian branes and representations.* - Mar. 2015, Geometry, Groups and Dynamics/GEAR Seminar, University of Illinois at Urbana-Champaign.

*How can you have dynamics when all you have is a category?* - Mar. 2015, Introduction to Graduate Mathematics Seminar, University of Illinois at Urbana-Champaign.

*Triangles and the theta series* - May 2015, Symplectic Geometry Seminar, Stanford University.

*Equivariant Lagrangians and representations.* - Sep. 2015, Symplectic Geometry and Topology Program Seminar, Institut Mittag-Leffler, Djursholm, Sweden.

*Gluing Fukaya categories associated to ribbon graphs.* - Oct. 2015, Geometry and Quantum Theory Colloquium, Woudschoten, Zeist, The Netherlands.

*Symplectic cohomology and mirror symmetry.* - Nov. 2015, Edinburgh Geometry Seminar (EDGE), Edinburgh Hodge Institute, Scotland.

*Equivariant structures on Lagrangian submanifolds.* - Dec. 2015, Mirror Symmetry and Symplectic Geometry Conference, Kyoto University, Japan.

*Wrapped Floer cohomology and Equivariant Mirror Symmetry.*(150 minute lecture series) - Feb. 2016, Symplectic and Poisson Geometry Seminar, University of Illinois at Urbana-Champaign.

*Gluing Fukaya categories of Riemann surfaces.* - Mar. 2016, Conference on Mirror Symmetry and Wall-Crossing, UC Berkeley.

*Symplectic geometry of scattering diagrams for log CY surfaces.* - Jul. 2016, Emmy Noether Kolloquium, Johannes Gutenberg University, Mainz, Germany.

*Symplectic cohomology and wall crossing.* - Jul. 2016, Symplectic working group seminar, Cambridge University.
- Sep. 2017, Symplectic and Poisson Geometry Seminar, University of Illinois at Urbana-Champaign.

*Relative Floer theory and wall-crossing.* - Sep. 2017, AMS Fall Southeastern Sectional Meeting, Special Session on Symplectic and Contact Topology and Dynamics, University of Central Florida.

*Fukaya categories and Poisson geometry.* - Oct. 2017, Back Porch Seminar, Austin, TX.

*Relative Floer theory and wall-crossing.* - Oct. 2017, Geometry Seminar, University of Texas at Austin.

*Commutativity and noncommutativity in Floer theory.* - Oct. 2017, Algebraic Geometry Seminar, University of Chicago.

*2D topological field theories from algebraic and symplectic geometry (expository talk).* - Nov. 2017, Algebraic Geometry Seminar, University of Chicago.

*Symplectic geometry and theta functions.* - Dec. 2017, Workshop on Categorification, Representation Theory, and Symplectic Geometry, Hausdorff Research Institute for Mathematics, Bonn.

*Poisson geometry and monoidal Fukaya categories.* - Feb. 2018, Symplectic and Poisson Geometry Seminar, University of Illinois at Urbana-Champaign.

*Symplectic groupoids and monoidal Fukaya categories.* - Apr. 2018, Introduction to Graduate Mathematics Seminar, University of Illinois at Urbana-Champaign.

*Symplectic geometry and categorification.* - Jun. 2018, Focus Program on Poisson Geometry and Physics, The Fields Institute.

*Structures in the Floer theory of symplectic Lie groupoids.*(Mini-course, approximately 6 hours) - Jul. 2018, A Symplectic Cut, a joint seminar of King’s College London and University College London.

*Symplectic groupoids and monoidal Fukaya categories.* - Oct. 2018, IAS/PU Symplectic Geometry and Dynamics Seminar, Institute for Advanced Study, Princeton, NJ.

*Structures in the Floer theory of symplectic Lie groupoids.* - Oct. 2018, Geometry and Physics Seminar, Northwestern University.

*Wall-crossing formulas for Lagrangian mutations.*Pre-talk:*Monotone Lagrangians and disk counting.* - Oct. 2018, Conference on Wall-crossing formula, open Gromov-Witten invariants and related areas, Institute for Basic Science/Center for Geometry and Physics, Pohang University of Science and Technology, Pohang, Korea.

*Wall-crossing formulas for Lagrangian mutations.* - Feb. 2019, Mathematics Inspired by String Theory (MIST) 2019 Workshop II, Chinese University of Hong Kong.

*Structures in the Floer theory of symplectic Lie groupoids.* - Mar. 2019, Mathematics Colloquium, Indiana University.

*Lagrangian submanifolds and disk counting.* - Mar. 2019, Number Theory and Algebraic Geometry Seminar, Boston College.

*Lagrangian submanifolds, disk counting, and wall-crossing.* - Apr. 2019, Symplectic Representation Theory, CIRM Luminy, France.

*On monoidal structures on Fukaya categories.* - Apr. 2019, Symplectic Geometry, Gauge Theory, and Categorification Seminar, Columbia University.

*On monoidal structures on Fukaya categories.* - Aug. 2019, International Conference on Symplectic Topology, IMPA, Rio de Janeiro, Brazil.

*On the Floer-theoretic nature of canonical bases.* - Dec. 2019, Hodge Institute, University of Edinburgh, Scotland.

*Moduli spaces of Lagrangians in symplectic topology and mirror symmetry.* - Jan. 2020, International Workshop on Symplectic Geometry, Sun Yat-sen University, Guangzhou, China.

*Moduli spaces of Lagrangians in symplectic topology and mirror symmetry.*(Three-hour lecture series)

## Teaching and Mentoring

### Ph.D. student

- Jianting Jesse Huang (in progress)

### UIUC

- Spring 2020: Vector and Tensor Analysis (MATH 481)
- Fall 2019: Introduction to Abstract Algebra (MATH 417)
- Fall 2019: Riemann Surfaces and Algebraic Curves (MATH 510)
- Spring 2019: Illinois Geometry Lab Project, Homological Algebra of Quiver Representations (5 undergraduate researchers).
- Fall 2018: Illinois Geometry Lab Project, Geometric Group Actions on Categories (5 undergraduate researchers).
- Fall 2018: Calculus III (MATH 241, 2 sections)
- Spring 2018: Homological Mirror Symmetry (graduate topic course, MATH 595)
- Spring 2018: Introduction to Abstract Algebra (MATH 417)
- Fall 2017: General Topology (MATH 535)
- Fall 2016: Calculus III (MATH 241, 2 sections)
- Spring 2016: Riemann Surfaces and Algebraic Curves (MATH 510)
- Spring 2016: Introduction to Differential Equations (MATH 285)
- Spring 2015: Differentiable Manifolds II (MATH 519)
- Fall 2014: Introduction to Differential Equations (MATH 285, 2 sections)

### UT Austin

- Spring 2014: Lagrangian Floer Homology (graduate topic course, M 392C)
- Fall 2013: Differential and Integral Calculus (∼120 students, M 408C)
- Spring 2013: Multivariable Calculus (∼120 students, M 408M)
- Fall 2012: Advanced Calculus for Applications I (Differential equations and Fourier series, ∼120 students, M 427K)
- Spring 2012: Probability I (M 362K)
- Fall 2011: Sequences, Series, and Multivariable Calculus (∼120 students, M 408D)

### MIT

- Summer 2009: Mentor for two students in SPUR.
- Emily Berger (MIT 2011),
*Hurwitz equivalence in the dihedral group*. - Colin Sandon (MIT 2012),
*Curves in tropical geometry*.

- Emily Berger (MIT 2011),
- Spring 2009: Recitation Instructor and Course Administrator for 18.02, Multivariable Calculus.
- Fall 2008: Recitation Instructor for 18.06, Linear Algebra.
- Summer 2008: Instructor for 18.085, Mathematical Methods for Engineers (first half).
- Spring 2008: Assistant for 18.821, Project Laboratory in Mathematics.
- Fall 2007: Grader for 18.100C, Analysis I with writing instruction.

### U. of Chicago

- Summer 2019: Instructor, grades 11–12, U. of Chicago Young Scholars Program.
- Fall 2005: Grader for Honors Calculus (Math 161), Set Theory and Metric Spaces (Math 261).
- Summer 2005: Lead Counselor, grades 11–12, U. of Chicago Young Scholars Program.
- Winter–Spring 2005: Junior Tutor in Mathematics for Introductory Calculus (Math 152, 153).
- Summer 2003, 2004: Counselor, U. of Chicago Young Scholars Program.

## Service activities

### UIUC

- Organizer of Symplectic and Poisson Geometry Seminar (Fall 2016, AY 2018–19, AY 2019–20).
- Preliminary examination committees for Daan Michiels (March 5, 2015), Melinda Lanius (May 4, 2015), and Sungwoo Nam (April 10, 2019).
- Final examination committees for Daan Michiels (March 27, 2018), Joel Villatoro (April 26, 2018), and Matej Penciak (June 17, 2019; committee chair).
- Reviewer for the Campus Research Board.
- Graduate affairs committee (2019–2020).
- Capricious grading committee (2019–2020).
- Altgeld/Illini renovation committee (2019–2020).
- Undergraduate affairs committee (2015–2019).
- Picnic committee (2014, 2018).

### IAS

- Co-organizer, with Paul Seidel, of the “Workshop on Homological Mirror Symmetry: Emerging Developments and Applications,” March 13–17, 2017, Institute for Advanced Study, Princeton, NJ. This was the spring workshop for the special year on homological mirror symmetry at IAS.
- Organized a reading group on higher genus Gromov-Witten theory at IAS in the Spring 2017 semester.

### UT Austin

- Co-organizer of the “Graduate Geometry and Topology Current Literature Seminar.”

### MIT

- Co-organizer of the
*MIT-RTG Geometry workshop, with David Nadler*, Breckenridge, CO, June 12-18, 2011. - Organizer of a reading group on Ivan Smith’s “Floer cohomology and pencils of quadrics,” Fall 2010.
- Co-organizer of the
*Graduate Symplectic Field Theory workshop mentored by Tobias Ekholm*in Raymond, ME, August 30-September 3, 2010. (Funded by the MIT Geometry RTG.) - Organizer of graduate student seminar
*Symplectic Hunt*, Spring 2008–Spring 2009.