Associate Professor
Department of Mathematics
University of NebraskaLincoln
203 Avery Hall, PO BOX 880130, Lincoln NE 68588, USA
Office: AVH328
Email: xperez at
unl dot
edu
Phone: +1 4024723731
Fax: +1 4024728466
Research interests
 Probabilistic methods in combinatorics
 Random structures
 Graph theory
 Asymptotic enumeration
 Discrete probability
 Algorithms
Selected publications
(Click here for a full list of publications.)
(See also Google Scholar,
MathSciNet,
zbMATH,
ORCID,
Scopus,
dblp)
 Perfect matchings and Hamiltonian cycles in the preferential attachment model
(preprint)
(doi)
(with A. Frieze, P. Prałat and B. Reiniger)
Random Structures & Algorithms, 54(2):258288, 2019.
 Arboricity and spanningtree packing
in random graphs
(preprint)
(doi)
(with P. Gao and C.M. Sato)
Random Structures & Algorithms, 52(3):495535, 2018.
 Asymptotic enumeration of strongly connected digraphs by vertices and
edges
(preprint)
(doi)
(with N. Wormald)
Random Structures & Algorithms, 43(1):80114, 2013.
 Disjoint Hamilton cycles in the random geometric graph
(preprint)
(doi)
(with T. Müller and N. Wormald)
Journal of Graph Theory, 68(4):299322, 2011.
 On the chromatic number of random dregular graphs
(preprint)
(doi)
(with G. Kemkes and N. Wormald)
Advances in Mathematics, 223(1):300328, 2010.
Slides of recent talks
Workshops organized
 Graduate Research Workshop in Combinatorics. June 2021, online
(GRWC 2021)
 AMS Sectional Meeting, SS on "Random Discrete Structures". October 2020, online
(program)

Graduate Research Workshop in Combinatorics. May 2020, Minneapolis MN
(cancelled due to Covid19)

AMS Sectional Meeting, SS on "Random Discrete Structures". March 2020, Medford MA
(cancelled due to Covid19)
 Graduate Research Workshop in Combinatorics. June 2019, Lawrence KS
(GRWC 2019)
 AMS Sectional Meeting, SS on "Random Discrete Structures". March 2019, Auburn AL
(program)
 AMS Sectional Meeting, SS on "Random Discrete Structures". April 2018, Nashville TN
(program)
 Workshop on "Random Geometric Graphs and Their Applications to Complex Networks". November 2016, Banff (Canada).
(BIRS 16w5095)
Students & postdocs
Recent teaching

Math310  Introduction to Modern Algebra (Spring 2021) 
syllabus,
class pictures 1
and 2

Math452  Graph Theory (Fall 2020) 
syllabus

Math310  Introduction to Modern Algebra (Fall 2020) 
syllabus

Math852  Discrete Mathematics II (Spring 2020) 
syllabus,
class picture

Math314  Linear Algebra (Spring 2020) 
syllabus,
class picture

Math850  Discrete Mathematics I (Fall 2019) 
syllabus,
class picture

Math487/887  Probability (Fall 2019) 
syllabus,
class picture

Math314  Linear Algebra (Spring 2019) 
syllabus,
class picture

Math958  Probabilistic Methods in Combinatorics (Fall 2018)

Math314  Linear Algebra (Fall 2018)

Math852  Discrete Mathematics II (Spring 2018)

Math850  Discrete Mathematics I (Fall 2017)

Math208  Calculus III (Fall 2017)

Math 221  Differential Equations (Spring 2017)

Math 221  Differential Equations (Fall 2016)

Math 221H  Honors Differential Equations (Fall 2016)
Other stuff i like
(Last updated July 2021)