Vitaly Lorman

Vitaly Lorman

Visiting Assistant Professor of Mathematics


Office 919 Hylan Building
E-mail: vlorman at ur dot rochester period edu
CV: curriculum vitae (10/27/2018)
Spring 2018Office Hours: M 3:30-5:30. W 12:45-1:45+by appointment

Courses I’m teaching this semester (Fall 2018)

STEM For All 2019

This summer I am helping organizing and teaching a mini-course in the Stem For All summer program at U of R. If you are a college student in the Rochester area interested in learning some math and possibly doing some research this summer, you should consider applying! We are especially and actively seeking to recruit students from groups that are underrepresented in STEM

Topology seminar

I co-organize the topology seminar. Talks are in Hylan 1106A, 5-6 on Wednesdays. There is also a pretalk, also in Hylan 1106A, 12:45-1:45. Here is our schedule–you may have to scroll down a bit.

Research

I study algebraic topology. I am particularly interested in computations related to equivariant and chromatic homotopy theory, as well as applications to geometric problems (such as the immersion problem for projective spaces and computing cobordism rings). I’ve also recently developed an interest in link invariants related to various link homology theories. Scroll down the page for my publications and preprints.

What I’m currently working on:

Publications

  1. Landweber flat real pairs and ER(n)-cohomology, with N. Kitchloo and W.S. Wilson. Advances in Mathematics 322 (2017), 60-82. arXiv link. * This paper comes with a user’s guide!.

  2. Multiplicative structure on Real Johnson-Wilson theory, with N. Kitchloo and W.S. Wilson. Contemp. Math., 707 (2018) arXiv link

  3. The ER(2)-cohomology of BZ/(2q) and CPn, with N. Kitchloo and W.S. Wilson. Canad. J. Math. 70 (2018), no. 1, 191?217. arXiv link.
    • Here are some pictures of the AHSS for CP, computed in the paper, that Steve Wilson made.
  4. The Real Johnson-Wilson Cohomology of CP. Topology and its Applications 209 (2016), 367–388. arXiv link

  5. The ER(2)-cohomology of XnCPn and BU(q), with N. Kitchloo and W.S. Wilson. Submitted (2018) arXiv link

REU 2018

Last summer, Alex Iosevich and I ran an REU in combinatorial geometry. It has continued into the year as an independent study.