Office hours (Spring 2023):
Mondays and Fridays 10:00-11:00 am
and Wednesdays 4:45-5:15 pm or by
appointment. (Click on the hour times for the zoom link, send me an email, if you don't know the password.)
Classes taught (Spring 2023):
Combinatorics, MATH 3166, Section
001, Mondays, Wednesdays and Fridays 11:15 am - 12:05 pm in Denny
203.
Real Analysis for Secondary
Mathematics Teachers, MATH 6102/EDCI 8102, Section 001, Wednesdays
5:30 - 8:15 pm in Fretwell 210.
Pages for my past UNCC classes are available at
my Class Homepage Archive.
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I have a separate Professional
Information page, containing (among others) links to:
my vita, my papers
published since 2011, and homepages of classes I
taught. Currently I am also maintaining a web page for
our Algebra, Combinatorics and
Number Theory Seminar.
The original version of most of my papers since 2002 may found in
our
departmental Preprint
Archive. I also post dynamically updated versions of my papers on
the ArXiv, whenever my coauthors allow
it. On my professional information page I
have links to preprint and published versions of
my papers
since 2012. Please
email me for an author's copy, if you have no access to the journal.
For links to all my published papers, try
the Publications section of
my vita.
- Spanning hypertrees, vertex tours and meanders
(with Robert Cori): local
original, the most
recent version is on the ArXiv.
- The type B permutohedron and the poset of intervals as a Tchebyshev
transform: a recent
version is on the ArXiv, the final
version (SharedIT link) is available online
in Discrete & Computational Geometry at DOI
10.1007/s00454-023-00490-4.
- Invariants of rational links represented by reduced alternating
diagrams (with Yuanan
Diao and Claus
Ernst): local
original, the most
recent version is on the ArXiv,
the final version is
in SIAM
Journal on Discrete Mathematics 34 (2020), 1944-1968.
- A Bijective Answer to a Question of Simion (with Richard Ehrenborg and
Margaret
Readdy):
the final
version is Article 19.1.2 in the
Journal of Integer
Sequences (11 pages).
- A Diagrammatic Approach for Determining the Braid Index of
Alternating Links (with Yuanan
Diao, Claus
Ernst
and Pengyu Liu):
the most
recent version is on the ArXiv,
the final
version is Journal of
Knot Theory and Its Ramifications 30 (2021), 2150035.
- Classification of uniform flag triangulations of the boundary of the full root polytope of type A (with Richard Ehrenborg and
Margaret
Readdy): local
original, the most
recent version is on the ArXiv,
the final
version is
in Acta Mathematica
Hungarica, 163 (2021), 462-511.
- Counting partitions of a fixed
genus: local
original, the most
recent version is on the ArXiv,
the final
version is
in The
Electronic Journal of Combinatorics, 25 (2018), P4.26
(with Robert Cori).
- Alternation acyclic
tournaments: local
original, the most recent
version is on the ArXiv,
the final
version is
in European
Journal of Combinatorics 81 (2019), 1-21.
- The Braid Index of Reduced Alternating Links (with Yuanan Diao
and Pengyu Liu):
local
original, a more recent
version is on the ArXiv, the final
version will appear in Mathematical
Proceedings of the Cambridge
Philosophical Society.
- The HOMFLY Polynomial of Links in Closed Braid Form (with Yuanan Diao
and Pengyu Liu):
a recent
version is on the ArXiv,
the final version is in Discrete
Mathematics 342 (2019), 190-200.
- Simion's type B associahedron is a pulling triangulation of the
Legendre
polytope (with Richard Ehrenborg and
Margaret
Readdy): local
original, a more
recent version is on the ArXiv,
the final version is
in Discrete &
Computational Geometry 60
(2018) 98-114.
- Efron's coins and the Linial arrangement: local
original, a more recent
version is on the ArXiv, the final
version is in
Discrete
Mathematics 339 (2016), 2998-3004.
- Generalized Tchebyshev triangulations
(with Eran Nevo):
local
original, the most recent
version is on the ArXiv, the final
version is in
the Journal of Combinatorial Theory A 137
(2016) 88-125.
- Counting genus one partitions and permutations
(with Robert Cori): local
original, the most recent
version is on the ArXiv,
the final
version is
in Séminaire
Lotharingien de Combinatoire, B70e (2014), 28 pp.
- The toric h-vector of a cubical complex in terms of noncrossing
partition statistics (with Sarah Birdsong):
local
original, a more recent
version is on the ArXiv, the
final version is in Annals
of Combinatorics 18 (2014) 585-606.
- Hurwitzian continued fractions
containing a repeated constant and an arithmetic progression:
local
original, a more recent
version
is on the ArXiv, the final version is
in SIAM
Journal on Discrete Mathematics, 28 (2014), 962-985.
- Relative Tutte polynomials of tensor products of colored graphs
(with Yuanan Diao):
local
original, a more recent
version
is on the ArXiv, the final
version is
in Combinatorics,
Probability & Computing, 22 (2013), 801-828.
- A Gray Code for the Shelling Types of the Boundary of a Hypercube
(with Sarah Birdsong):
local
original, a more recent
version
is on the ArXiv, the final version
is in Discrete
Mathematics, 313 (2013),
258-268.
- Level Eulerian posets
(with Richard Ehrenborg and
Margaret Readdy):
local original,
a recent version
is on the ArXiv, the final version
is in Graphs and
Combinatorics 29 (2013) 857-882.
- The short toric
polynomial: local
original,
an updated version
is on the ArXiv, the final version
is in Transactions
of the American Mathematical Society 365 (2013), 1441-1468.
- The poset of bipartitions (with Christian Krattenthaler):
local
original, an updated
version is on the ArXiv, the
final version is in European
Journal of Combinatorics 32 (2011), 1253-1281.
- Enumeration by kernel positions for strongly Bernoulli type
truncation games on words:
local
original, a revised
version is on the ArXiv, the final
version is in the Journal of Combinatorial Theory
A 117 (2010), 1107-1126.
- Meixner polynomials of the second kind and quantum algebras
representing su(1,1):
local
original, a revised
version is on the ArXiv,
the final
version is in
the Proceedings of
the Royal Society A 466 (2010), 1409-1428.
- A Tutte-style proof of Brylawski's tensor product formula (with Yuanan Diao and Kenneth Hinson):
local
original,
the final
version is in
European
Journal of Combinatorics 32 (2011), 775-781. (This is the
special issue of honoring Thomas Brylawski.)
- A second look at the toric h-polynomial of a cubical complex:
local
original, a revised
version is on the ArXiv,
the final
version is in Annals
of Combinatorics
16 (2012), 517-541.
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