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Andrei Pavelescu

Andrei Pavelescu

Assistant Professor
Department of Math and Statistics

Education

  • 2007 - 2012 University of Southern California: Ph.D. in Mathematics

  • 2003 - 2006 University of Pennsylvania: Master of Philosophy

  • 2002 - 2003 Johns Hopkins University: Master of Arts

  • 1998 - 2002 University of Bucharest: Bachelor of Science

Biography

I am an assistant professor in the Mathematics Department at University of South Alabama. I received my Ph.D. degree from USC in 2012 under the supervision  of Dr. Robert Guralnick. My main research focus lies within the realms of graph theory and group theory, although I’ve had my encounters with number theory, ring theory and orderable groups.

I like to play with Bernie and Albert, cook, play chess, handball, and soccer.

Research Interests

  • (Finite) Group Theory - Mainly permutation groups and the action of derangements in primitive permutation groups.

  • Ring Theory - Maximal commutative subrings of matrices.

  • Graph Theory - Linkless embeddings of graphs and their complements.

  • Gerrymandering - The mathematics of social choice

Publications

  • Andrei Pavelescu and Elena Pavelescu, An infinite family of linklessly embeddable Tutte-4-connected graphs, submitted, June 2021

  • Andrei Pavelescu and Elena Pavelescu, Complements of Non-Separating Planar Graphs, submitted, April 2021

  • Ramin Naimi, Andrei Pavelescu, Elena Pavelescu, New bounds on maximal linkless graphs, submitted, September 2020

  • Ryan Odeneal and Andrei Pavelescu, Simple graphs of order 12 and minimum degree 6 contain K6 minors, Involve, Vol. 13 (2020), No. 5, 829–843

  • Andrei Pavelescu and Elena Pavelescu, Hadwiger Numbers of Self-complementary Graphs, Graphs and Combinatorics 36, 865–876 (2020)

  • Andrei Pavelescu and Elena Pavelescu, The complement of a NIL graph with thirteen vertices is IL, Algebraic & Geometric Topology 20 (2020) 395–402

  • Ramin Naimi, Andrei Pavelescu, and Elena Pavelescu, Escher squares and lattice links, Topology and its Applications Vol. 256 (2019), 69 – 72

  • Feldvoss, J¨org, Lauren Grimley, Drew Lewis, Andrei Pavelescu, and Cornelius Pillen, eds. Advances in Algebra: SRAC 2017, Mobile, Alabama, USA, March 17-19. Vol. 277. Springer, 2019.

  • Andrei Pavelescu, Derangements in cosets of primitive permutation groups, J. Group Theory 18 (2015), no. 1, 143 – 154.

  • Andrei Pavelescu, Some Maximal Commutative Subrings of Mn(D), Communications in Algebra Vol. 41 (2013), Iss. 8, 3032 – 3034 Andrei Pavelescu Curriculum Vitae Page 3

  • Andrei Pavelescu, “The Henselization of General Local Rings  Revisited-”(M.Phil. Thesis), May 2006

  • Andrei Pavelescu,“Rings Introduced by the Notion of Projective Module”(B.A. Thesis), June 2002

Teaching

  • Assistant Professor - University of South Alabama Mobile, AL 40 hours per week August 2015- Present

  • Visiting Assistant Professor - Oklahoma State University

    Stillwater, OK 40 hours per week August 2012-May 2015

  • Teaching Assistant - University of Southern California

    Los Angeles, CA 20 hours per week August 2007-May 2012

  • Teaching Assistant - University of Pennsylvania

    Philadelphia, PA 20 hours per week September, 2003-May 2006

  • Teaching Assistant - Johns Hopkins University

    Baltimore, MD 20 hours per week September 2002-May 2003