Vitaly Lorman
Visiting Assistant Professor of Mathematics
Office  919 Hylan Building 
Email:  vlorman at ur dot rochester period edu 
CV:  curriculum vitae (10/27/2018) 
Spring 2018Office Hours:  M 3:305:30. W 12:451:45+by appointment 
Courses I’m teaching this semester (Fall 2018)
 MTH 130 Excursions in Mathematics
 MTH 282  Introduction to Complex Variables
STEM For All 2019
This summer I am helping organizing and teaching a minicourse 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 coorganize the topology seminar. Talks are in Hylan 1106A, 56 on Wednesdays. There is also a pretalk, also in Hylan 1106A, 12:451:45. 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:

I am working with Carl McTague and Doug Ravenel on computing the String cobordism ring at the prime 3. It is, in Doug’s words, a computational circus.

I am working with Apurv Nakade on lifting Khovanov and Rozansky’s triply graded link homology (which categorifies the HOMFLYPT polynomial) to homotopy theory.

Together with Nitu Kitchloo and W. Stephen Wilson I’ve made a bunch of computations with Real JohnsonWilson theories (certain cohomology theorists that come up in chromatic equivariant homotopy theory). Together with Guchuan Li and J.D. Quigley, I’m working on using them to compute some Mahowald invariants. I’m also interested in finding a way to use unstable ER(n)operations (which one can say a lot about) to say something about the immersion problem for projective spaces.

Together with Alex Iosevich, Jonathan Passant, and a group of very bright undergraduates, we are thinking about a generalization of the Erdos distinct distance problem in combinatorial geometry. This is a continuation of an REU that Alex and I ran last summer.
Publications

Landweber flat real pairs and ER(n)cohomology, with N. Kitchloo and W.S. Wilson. Advances in Mathematics 322 (2017), 6082. arXiv link. * This paper comes with a user’s guide!.

Multiplicative structure on Real JohnsonWilson theory, with N. Kitchloo and W.S. Wilson. Contemp. Math., 707 (2018) arXiv link
 The ER(2)cohomology of BZ/(2^{q}) and CP^{n}, 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.

The Real JohnsonWilson Cohomology of CP^{∞}. Topology and its Applications 209 (2016), 367–388. arXiv link
 The ER(2)cohomology of X^{n}CP^{n} 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.