Mentor Stafa

Professor of Practice
Tulane University
Department of Mathematics
6823 St. Charles Ave
New Orleans, LA 70118

Tulane

Office: Gibson 405
Phone: +1 (504) 862-3464
Tulane
CV • arXiv • G-Scholar • Geom-Top Seminar     

Mentor

Résumé

2017- now   Professor of Practice, Tulane University, New Orleans
2016-2017   Postdoctoral Fellow, Indiana University - Purdue University Indianapolis
2015-2016   Postdoctoral Researcher, ETH Zürich, Switzerland
2013-2015   Postdoctoral Fellow, Tulane University, New Orleans
2008-2013   Ph.D. in Mathematics, University of Rochester, New York

Research

My research interests lie in the field of algebraic topology. More specifically my work focuses on the topology of representation spaces of discrete groups in Lie groups, toric topology, and various applications.

Publications & Preprints

  1. Homological stability for spaces of commuting elements in Lie groups (w. Ramras)
    Int. Math. Res. Not. IMRN, 2021, no. 5, 3927–4002. • PDF

  2. Poincaré series of character varieties for nilpotent groups
    J. Group Theory 2019, v. 22 (3), pp. 419-440 • PDF

  3. Hilbert-Poincaré series for spaces of commuting elements in Lie groups (w. Ramras)
    Math. Zeitschrift 2019, v. 292 (1–2), pp. 591–610 • PDF

  4. Polyhedral products, flag complexes and monodromy representations
    Topology Appl. 244 (2018) pp. 12-30 • PDF

  5. A survey on spaces of homomorphisms to Lie groups (w. F.R. Cohen)
    Configurations Spaces: Geometry, Topology and Representation Theory,
    Springer INdAM series    , vol. 14, 361-379, 2016 • PDF

  6. On spaces of commuting elements in Lie groups (w. F.R. Cohen)
    Math. Proc. Cambridge Philos. Soc. 161(3) (2016), pp. 381–407 • PDF

  7. On the fundamental group of certain polyhedral products
    J. Pure Appl. Algebra 219 (2015), no. 6, 2279-2299 • PDF

  8. On monodromy representations in Denham-Suciu fibrations
    J. Pure Appl. Algebra, 219 (2015), no. 8, 3372-3390 • PDF

  9. On polyhedral products and spaces of commuting elements in Lie groups
    Ph.D. Thesis, 2013 • ProQuest • PDF

    10. Expository:


  10. The Mayer-Vietoris spectral squence, 2015 • PDF

Teaching

At Tulane University :
– Calculus I (Fall 2020)
– Calculus I (Fall 2020)
– TA Training Seminar (Fall 2020)

– Probability & Statistics I (Summer 2020)
– Long Calculus II (Spring 2020)
– Long Calculus I (Fall 2019)
– Calculus I (Fall 2019)
– Long Calculus I (Summer 2019)
– Independent Study: "Linear representations of finite groups" (Spring 2019)
– Calculus I (Fall 2018)
– Long Calculus I (Summer 2018)
– Honors Calculus III (Spring 2018)
– Abstract Algebra II (Spring 2018)
– Calculus I (Fall 2017)
– Consolidated Calculus (Honors) (Fall 2017)
– Abstract Algebra I (Fall 2017)
– Independent Study: "Finite reflection groups" (Fall 2017)

At IUPUI :
– Analytic Geometry and Calculus II (Summer 2017)
– Introduction to Algebraic Topology (Spring 2017)
– Analytic Geometry and Calculus I (Fall 2016)
– Analytic Geometry and Calculus II (Fall 2016)

At ETH Zürich : No teaching obligations.

At Tulane University :
– Calculus II (Spring 2015)
– Calculus III (Spring 2015)
– Consolidated Calculus (Fall 2014)
– Elements of Homotopy Theory (co-taught, Spring 2014)

At the University of Rochester :
– Linear Algebra (Summer 2013)
– Calculus II (Fall 2012)
– Multidimensional Calculus (Summer 2012)
– ECO Calculus (Summer 2012)
– Calculus I (Summer 2009,2010)

Talks

– Fields Institute - Polyhedral Products in Homotopy Theory, Jan. 20-24, 2020 (canceled)
– AMS JMM Special Session, Baltimore MD, Jan. 19, 2019
– Lloyd Roeling Math Conference - University of Louisiana Lafayette, Nov. 11, 2017
– Princeton-Rider Workshop: Homotopy Theory of Polyhedral Products, May 31, 2017
– AMS Sectional Meeting, Indiana University - Bloomington, April 2, 2017
– ETH Zürich, Geometry Seminar, Switzerland, March 15, 2017
– University of Louisiana at Lafayette, Colloquium - March 8, 2017 • notes
– Purdue University, Topology Seminar, March 9, 2017
– Princeton University, Algebraic Topology Seminar, February 23, 2017
– CMS Meeting Special Session, Niagara Falls, ON Canada, December 4, 2016
– IU/PU/IUPUI Joint Topology Seminar, November 12, 2016
– IUPUI Modern Analysis and Geometry Seminar, Sept. 6, Sept. 13, Nov. 1, 2016
– Université de Fribourg, Combinatorics Seminar, Switzerland, December 17, 2015
– ETH Zürich, Geometry Seminar, December 2, 2015 • notes
– ETH Zürich, Informal Geometry Seminar, November 19, 2015
– Combinatorial Constructions in Topology, Regina, SK, Canada - Aug. 20, 2015 • slides
– Centro de Giorgi, Pisa, Italy - Feb. 17, 2015 • slides
– ÉPFL, Topology Seminar, Lausanne, Switzerland - Jul. 31, 2014
– Young Topologists Meeting 2014, University of Copenhagen, Denmark - July 4, 2014
– More: CV