Department of Mathematics, Statistics, and Computer Science University of Illinois at Chicago 322 Science and Engineering Offices 851 South Morgan Street Chicago IL 60607-7045 United States of America SEO 522 jlazov2 (at) uic (dot) edu |
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I am a doctoral candidate in pure mathematics at the University of Illinois at Chicago (UIC), working with Ben Antieau and Shmuel Weinberger. My interests are in topological data analysis from the algebraic perspective, persistent homology, and manifold reconstruction. I completed bachelor's and master's studies at the University of Waterloo (UW), in the departments of Pure Mathematics and Combinatorics and Optimization. Current topics I'm working on are on my math blog. My CV is available in English and Latvian.

- 2018: Stratifications for universal persistent homology spaces
- PhD thesis, expected to defend May 2019
- arXiv preprint, submitted November 2018
- Math Computing Lab project, in Spring 2019 to visualize and interact with these spaces with virtual reality hardware

- 2018: Counting equivalence classes of Morse functions on compact surfaces. Joint with participants from a recent IMA meeting.
- 2014: Characterizations of the Chern characteristic classes. This was my Master's project at UW.

- 28 May 2019: Stability of universal constructions for persistent homology, Thesis defense at UIC.
- 17 April 2019: A fibration on the fundamental infinity groupoid at UIC GGTDS.
- 15 April 2019: Stratifying configuration spaces for persistent homology at MSU Math / Computer Science Seminar.
- 15 March 2019: Homotopy theory for topological data analysis at UIC grad visit day.
- 7 March 2019: The entrance path category at CSU Category Theory Seminar.
- 5 March 2019: Stratifications and sheaves for persistent homology at CSU Topology Seminar.
- 13 February 2019: Continuity in spaces and sets, at UIC GGTDS.
- 19 January 2019: Sheaf theory on universal persistent homology spaces at Joint Mathematics Meetings.
- 14 November 2018: Barcodes in persistence at UIC Grovesloquium.
- 10 October 2018: Persistent homology, universal and generalized at UIC GGTDS.
- 28 September 2018: The homotopy category UIC Math 568 lecture.
- 26 September 2018: Quasi locally constant functions at UIC Grovesloquium.
- 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.
- 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.

- 16-19 January 2019: Joint Mathematics Meetings, in Baltimore, MD. Invited speaker.
- 8-9 September 2018: World Congress of Latvian Scientists, in Riga, Latvia. Poster session.
- 21-25 May 2018: Bridging Statistics and Sheaves, at the IMA in Mnneapolis, MN. Poster session.
- 19-23 February 2018: Linking Topology to Algebraic Geometry and Statistics, at Max Planck in Leipzig, Germnay. Poster session.
- 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.

- 26 June - 3 July 2019: Pasaules Latviešu Jaunatnes Seminārs 2x2, Saulainē, Ontario, Kanādā.
- 7 - 8 April 2018: Graduate Student Topology and Geometry Conference, at UIC in Chicago, IL.
- Fall 2017: Graduate infinity categories seminar, at UIC.
- Spring 2015: Math and Snacks undergraduate seminar, at UIC.
- Fall 2013: Characteristic classes seminar, at UW in Waterloo, ON.

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This page was last updated on 2019-04-16 at 08:45 MDT