Department of Mathematical Sciences

University of Arkansas

Fayetteville, AR 72701

Phone: 479-575-3351

E-mail: markj@uark.edu

I currently am serving as Chair of the
Department of Mathematical Sciences.

My research
interests are in commutative algebra and algebraic geometry. More specifically, I have

worked
on linkage theory and residual intersections of ideals, and on problems
involving blowing-up

algebras
of ideals and modules.

**Selected
Publications:**

Ubiquity
of complete intersection liaison classes, Illinois J. Math. 58
(2014), 647–663 (with Paolo Mantero)

Liaison
of product varieties. J. Algebra
268 (2003), 572–602

Normal
blow-ups and their expected defining equations. J. Pure Appl. Algebra 162
(2001), 303–313 (with Susan Morey)

Licci
ideals and the non-almost complete intersection locus. Proc. Amer. Math.
Soc. 129
(2001), 1-7

Serre's
condition R_{k} for associated graded rings. Proc. Amer. Math.
Soc. 127
(1999), 2619–2624 (with Bernd Ulrich)

Linkage
and sums of ideals. Trans. Amer. Math. Soc.
350 (1998), 1913–1930

Artin-Nagata
properties and Cohen-Macaulay associated graded rings. Compositio Math. 103
(1996), 7–29 (with Bernd Ulrich)

**Teaching**

Fall 2017:
MATH 510V Mathematical
Seminar T 3:30-4:20

MATH
5013 Abstract Algebra with Connections
to School Mathematics

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