Jānis Lazovskis - Research
This page contains research directions I am currently involved in and have been involved in. The "Projects" section will hopefully be replaced by a "Publications" section, but right now contains different directions of math that I've explored. Most of the talks have linked notes that I used while giving the talks. A more up-to-date (but less organized) collection is my
2018: A constructible sheaf over configuration spaces, with
Ben Antieau and Shmuel Weinberger. Related blog posts
poster. This will become a paper soon. 2017: Extending persistent homology, with BA and SW. Related blog posts
2. Older projects
2016: Classical topological data analysis, with BA. Related
GitHub project, blog posts
5, and semester project. 2016: Moduli spaces of Higgs bundles over Riemann surfaces, with
Laura Schaposnik. Related blog posts
Characterizations of the Chern characteristic classes, UW Master's project. 2012 - 2013: Undergraduate projects, on
Khovanov homology, Hopf algebras, and tensors, with David Jackson.
26 April 2018:
Geometrically motivated partial orders on simplicial complexes, at UIC GGTDS. 22 March 2018:
Distance and functoriality in TDA, at UIC Grovesloquium. 15 March 2018:
Constructible sheaves at UIC GGTDS. 8 February 2018:
Algebra and geometry on topological spaces: a new look at data, at UIC GSC. Accompanying video. 8 January 2018:
Par doktorantūru Ziemeļamerikā, LJZA zinātnieku tikšanās. 29 November 2017:
Perspectives on the Ran space, at UIC GGTDS. 10 November 2017:
Coneability, at UIC Hermanos seminario. 9 October 2017:
Analyzing topology with data, at UIC Math Club. 20 September 2017:
Geometric categories, at UIC GGTDS. 8 September 2017:
The Ran space and stratifications, at UIC Grovesloquium. Older talks
21 April 2017:
Extending persistent homology, at UIC Hermanos seminario. 24 February 2017:
Serre duality on schemes, UIC Algebraic Geometry 2 lecture. 8 February 2017:
Geodesic laminations, part 1, at UIC GGTDS. 30 November 2016:
Finite point reconstruction, at UIC GGTDS. 18 November 2016:
Calculations with the conditioning number, UIC Geometry and Topology day. 10 October 2016:
Higgs bundles, at UIC Grovesloquium. 21 September 2016:
Seifert fibered surfaces, at UIC GGTDS. 19 September 2016:
Topological data analysis, at UIC GSC. 7 September 2016:
Your departmental website, UIC Special presentation. 30 March 2016:
The Hodge diamond of hypersurfaces, at UIC AG RTG seminar. 27 January 2016:
Homotopy groups of spheres, at UIC GGTDS. 21 January 2016:
Formal group laws and Lazard's theorem, at UIC CHTS. 30 November 2015:
K3 surfaces, UIC Differentiable Manifolds lecture. Accompanying handout. 28 October 2015:
Rational computations of K-theory, at UIC Homotopy theory seminar. 21 October 2015:
Geometric realizations (of rings), at UIC GGTDS. 9 September 2015:
A gentle introduction to sheaves, at UIC Grovesloquium. 17 March 2015:
Grassmannians and group actions, at UIC Grovesloquium. 11 February 2015:
Milnor and Sullivan's results on bounded cohomology, at UIC GGTDS. 20 January 2015:
Tiling the hyperbolic plane, at UIC Grovesloquium. 19 November 2014:
An introduction to knot contact homology, at UIC GGTDS. 15 October 2014: Presentations of the braid group, at UIC Grovesloquium.
11 June 2014: Sheaf cohomology and manifolds, at UW Algebraic Geometry seminar.
4 June 2014:
TikZ and you: how to get the most out of code-generated graphics, UW Special Presentation. 27 May 2014:
A gentle introduction to knots and knot invariants, at UW Joint PM-C&O colloquium. 22 May 2014: Complex submanifolds, at UW Analysis seminar.
13 May 2014: The CW-structure and cohomology of the complex Grassmannians, at UW G&T seminar.
3 April 2014: A gentle introduction to moduli spaces, at UW PM colloquium.
20 March 2013: Flows and unique diffeomorphism classes, at UW Morse theory seminar.
18-20 June 2018:
World Congress of Latvian Scientists, in Riga, Latvia. Poster on secondary topological structures. 21-25 May 2018:
Bridging Statistics and Sheaves, at the IMA in Mnneapolis, MN. Poster on constructible cosheaves. 19-23 February 2018:
Linking Topology to Algebraic Geometry and Statistics, at Max Planck in Leipzig, Germnay. 30 July - 4 August 2017:
Topological Data Analysis: Developing Abstract Foundations at BIRS in Banff, AB. 23-28 April 2017:
Applied and Computational Algebraic Topology Spring School, at the Hausdorff Institute in Bonn, Germany. 21-23 October 2016:
Workshop on the geometry and physics of Higgs bundles, at UIC in Chicago, IL. 8-13 August 2016:
West Coast Algebraic Topology Summer School at the University of Oregon in Eugene, OR. Talk on complex bordism theory with Maximilien Péroux. 28-29 March 2015:
Graduate Student Topology and Geometry Conference, at UIUC in Urbana-Champaign, IL. 7-12 July 2014:
West Coast Algebraic Topology Summer School, at PIMS in Vancouver, BC. Talk on Khovanov's knot homology with Robin Koytcheff.
jlazovskis.com | mat-blag.blogspot.com
This page was last updated on 2018-06-01 at 00:04 CDT