Aug. 3-5, 2026
Speakers:
Caroline Davis, Stony Brook University
Kostya Drach, Universitat de Barcelona
Dzmitry Dudko, Stony Brook University
Jeremy Kahn, Brown University
In Sung Park, Stony Brook University
Alex Kapiamba, Harvard University
Sergiy Merenkov, The City College of New York
Sabyasachi Mukherjee, Tata Institute of Fundamental Research
Malavika Mukundan, Boston University
Vanessa Matus de la Parra, Stony Brook University
Kevin Pilgrim, Indiana University Bloomington
Juan Rivera-Letelier, University of Rochester
Alex Rodriguez, Stony Brook University
Theme: Julia in Motion
The workshop focuses on geometric and topological structures arising in conformal dynamics. Particular emphasis will be placed on Julia sets and limit sets, their topological and geometric structures, and how these structures vary, degenerate, and bifurcate in parameter spaces. The workshop aims to bring together related perspectives from rational dynamics, Kleinian groups, algebraic correspondences, and transcendental dynamics.
Schedule: Title and abstract
Talks are scheduled for 50 minutes plus 10 minutes for questions. All talks will be in Malott 205.
Monday, Aug. 3, 2026
9:00-10:00: Sabyasachi Mukherjee - Holomorphic correspondences: boundedness, rigidity, and stability.
10:00-11:00: Kostya Drach - Thurston realization for transcendental entire maps with controlled line complexes.
Coffee Break (Snacks and coffee in 5th floor lounge)
11:30-12:30: Dzmitry Dudko - Pseudo-Siegel bounds: from Neutral to Molecule Regimes.
Lunch Break
2:00-3:00: Sergiy Merenkov - Fractal Quasisymmetry and Dynamics.
3:00-4:00: Alex Rodriguez - Conformal welding and flexible curves.
Discussion
Tuesday, Aug. 4, 2026
9:00-10:00: Juan Rivera-Letelier - Critical points and p-adic attracting cycles.
10:00-11:00: Caroline Davis - Combinatorial Invariants for Rational Maps.Combinatorial Invariants for Rational MapsCombinatorial Invariants for Rational Maps
Coffee Break (Snacks and coffee in 5th floor lounge)
11:30-12:30: Malavika Mukundan - Hyperbolic Orbifold 3-Laminations for the Bullett–Penrose Correspondence.
Lunch Break
2:00-3:00: Alex Kapiamba
3:00-4:00: In Sung Park - Decomposition Theories and Infimizing Hausdorff Dimension.
Wednesday, Aug. 5, 2026
9:00-10:00: Jeremy Kahn - Teichmuller diameter, Teichmuller's theorem, and MLC from bounds.
10:00-11:00: Kevin Pilgrim - From critically finite maps to three different iterated function systems.
Coffee Break (Snacks and coffee in 5th floor lounge)
11:30-12:30: Vanessa Matus de la Parra - Algebraic Correspondences through the Lens of Random Dynamics.
Useful information:
Parking information: Toboggan Lodge is the closest visitor parking place to the Malott hall, see https://www.cornell.edu/visit/parking/. The easiest way for parking is to use ParkMobile app. The hour rate is $3 and the daily rate is $24.
Lunch options on campus can be found in https://now.dining.cornell.edu/eateries.
Coffee options on campus listed by distance to Malott hall: Bus Stop Bagels, Goldie's Café, Café Jennie, Gimme! Coffee.