Curvature and Topology
Curvature operators and rational cobordism
Handwritten notes (Oberwolfach, Feb 2024)
Handwritten notes (University of Chicago, Apr 2023)
Handwritten notes (MATRIX minicourse, Jul 2023)
Slides (Online talks, Apr 2023)
Extremality and rigidity for scalar curvature in dimension 4
Handwritten notes (Online talks, Jun 2022)
Slides (GNOSC, Nov 2022)
Geography of pinched 4-manifolds
Slides (Irish Geometry Seminar, Apr 2021)
Slides (Online talks, Oct 2020)
Convex Algebraic Geometry of Curvature Operators and Applications
Handwritten notes (University of Parma, Talk in 2 parts, Jun 2022)
Handwritten notes (University of California Berkeley, Nov 2021)
Handwritten notes (Workshop on Curvature and Global Shape, Münster, Jul 2019)
Handwritten notes (University of Köln, Jun 2019)
Slides (AustMS, Dec 2018)
Sectional curvature and Bochner-Weitzenböck formulae
Handwritten notes (University of California San Diego, Feb 2018)
Handwritten notes (Graduate Student Topology and Geometry Conference, Apr 2017)
Handwritten notes (Workshop on Curvature and Global Shape, Münster, Jul 2017)
Handwritten notes (University of Pennsylvania, Jan 2017)
Strongly positive curvature
Handwritten notes (Princeton University, Mar 2016)
Handwritten notes (Workshop on Curvature and Global Shape, Münster, Jul 2015)
Handwritten notes (Graduate Student Topology and Geometry Conference, Apr 2014)
Handwritten notes (University of Pennsylvania, Apr 2014)
Handwritten notes (City University of New York, Oct 2013)
Teichmüller and moduli spaces for flat manifolds and orbifolds
Slides (AustMS Early Career Workshop, Dec 2018)
Handwritten notes (Dartmouth College, Colloquium, Apr 2017)
Handwritten notes (Graduate Student Conference in Algebra, Geometry and Topology, Jun 2017)
Handwritten notes (Lafayette-Lehigh Seminar, Mar 2017)
Positive biorthogonal curvature in dimension 4
Handwritten notes (Duke University, Oct 2015)
Handwritten notes (Michigan State University, Mar 2015)
Handwritten notes (City University of New York, Apr 2013)
Rank rigidity in dimension 3
Handwritten notes, (University of Pennsylvania, Apr 2015)
Geometric Analysis
Bifurcating minimal surfaces in ellipsoids of revolution
Handwritten notes about bifurcating minimal surfaces (Brown University, Sep 2023)
Handwritten notes about bifurcating minimal 2-spheres (University of Toronto, Mar 2022)
Slides (Geometric Analysis "Past, Present and Future", Talk in 4 parts, Oct 2022)
Four dimensional Ricci flow and sectional curvature
Handwritten notes about $\sec>0$ case (Columbia University, Feb 2022)
Handwritten notes about $\sec\geq 0$ case (University of Hannover, Nov 2016)
Handwritten notes about Wilking's cones (Max Planck Institute for Mathematics, Bonn, Nov 2016)
Bifurcation theory in Geometric Analysis
Handwritten notes (Chuo University, Minicourse, Dec 2019)
Handwritten notes (Colloquia, 2017-2018)
Slides (AustMS Plenary Talk, Dec 2018)
Handwritten notes (University of Münster, Jun 2016)
Nonuniqueness of conformal metrics with constant $Q$-curvature
Handwritten notes (Institute for Advanced Study, Apr 2019)
Handwritten notes (University of Regensburg, Sep 2018)
Handwritten notes (Dartmouth College, Apr 2017)
Handwritten notes (University of Chicago, Oct 2017)
Nonuniqueness of solutions to the Yamabe problem
Handwritten notes (Oberwolfach, Aug 2017)
Handwritten notes (Max Planck Institute for Mathematics, Bonn, Nov 2016)
Handwritten notes (Ohio State, Mar 2016)
Handwritten notes (Stony Brook University, Dec 2014)
Handwritten notes (Pacific Rim Geometry Conference, Dec 2011)
Bifurcation of Constant Mean Curvature hypersurfaces
Handwritten notes (MIT, Apr 2013)
Handwritten notes (Michigan State University, Mar 2014)
Outreach / others
Paolo Piccione's 60th Birthday Conference
Slides (USP, 2024)
Grad Student Colloquium: Positive curvature
Handwritten notes (CUNY GC, 2022)
Outreach talk: How to find nontrivial solutions out of trivial ones?
Slides (CUNY GC, 2022)
Outreach talk: How to recognize the shape of a world from within it?
Slides (Bronx Community College, 2021)