Welcome to Harbourne's Home Page

Photograph goes here.

If you want to contact me, my email address is:
b harbourne 1 @ unl . edu (just take out the spaces) .

Vital Info

Brian Harbourne, Willa Cather Professor and 2022 Fellow of the AMS
331 Avery Hall
Department of Mathematics
University of Nebraska--Lincoln
Lincoln, NE 68588-0130

Research Interests

My research interests are in Algebraic Geometry and Commutative Algebra. Currently, I am interested in geproci point sets, unexpected hypersurfaces, the Containment Problem, line arrangements in the plane, and the Bounded Negativity Problem.

Most of my papers are available, at least in preliminary form, on the arXiv.

Slides of selected talks

McMaster Algebra Seminar (January 26, 2023): Geproci sets: a confluence of geometry, algebra, combinatorics and representation theory (50 minute talk)

KUMUNU (October 8-9, 2022): Algebraic Geometric Concepts Motivated by Inverse Scattering (45 minute talk)

INdAM Conference on: Strong and Weak Lefschetz Properties, 11-16 Sept, 2022: Lefschetz properties, unexpectedness and geprociness (35 minute talk)

Special Session on Commutative Algebra, Canadian Math Society (virtual meeting), December 6, 2021: The concept of geproci subsets of P3: a timeline (20 minute talk)

Matemáticas en Español, Univ. Nebraska, 2 Diciembre, 2021: La ley del grupo para curvas cúbicas (es decir, curvas algebráicas del grado 3)

Commutative Algebra Seminar, Univ. Nebraska, December 1, 2021: The concept of geproci subsets of P3: a timeline (50 minute talk)

Algebraic Geometry and Commutative Algebra Seminar, Univ. Notre Dame, November 9, 2021: The concept of geproci subsets of projective 3-space (50 minute talk)

AMS special session, October, 23: The concept of geproci subsets of P3 (20 minute talk)

Algebra Seminar, Univ. Arkansas, April, 2021: Various versions of the resurgence and how they are related

Colloquium, Univ. Arkansas, April, 2021: Rational Amusements to Lighten a Long Year of Social Distancing

Matemáticas en Español, Univ. Nebraska, Febrero, 2021: Cómo Napier empoderó a Kepler quien inspiró a Newton a cambiar el mundo

MFO, Oberwolfach, January, 2021: H-constants and Line Arrangements

Seminario, Universidad Michoacana, Noviembre, 2019: ¿Qué tan singular puede ser una curva algebraica plana?

MFO, Oberwolfach, November, 2019: The role of line arrangements in some open problems in algebraic geometry

CIRM, Luminy, October, 2019: New work on unexpected varieties (and line arrangements) with a short history and connection to Lefschetz properties

Vietnam-USA Joint Mathematical Meeting, Quy Nhon, Vietnam, July, 2019: Recent results on computability of certain asymptotic quantities

Vancouver CMS Winter Meeting, December, 2018: Primer on unexpected hypersurfaces

Seoul KMS-AMS Joint Meeting, December, 2009: Asymptotic Invariants of Ideals of Points

Penn State AMS sectional, October, 2009: Powers versus Symbolic Powers of Ideals

Other Links

Math Dept Site Map (javascript)


Web based algorithms for fat points

October 2011 AMS meeting

October 2005 AMS meeting

Some background on the Commutative Algebra group here

Algebraic Geometry Seminar schedule

Commutative Algebra Seminar schedule

Weather (Lincoln)

Department FAQ

What time is it?

List of UNL Campus Buildings, with Map
Academic Calendar
Find link to Final Exam Schedule here
UNL Schedule of Classes


Fall 2013 M445/845
Spring 2013 M953
Spring 2013 M104
Fall 2012 M471
Fall 2011 M203E
Fall 2011 M901
Spring 2011 M203E
Spring 2011 M953
Fall 2010 M203J Section 1
Fall 2010 M203J Section 2
Fall 2009 M203J
Fall 2009 M918 Algebraic Curves
Fall 2009 M896 Teaching Seminar
Spring 2009 M203J
Spring 2009 M902
Fall 2008 M203 Section 004
Fall 2008 M901
Fall 2007 M203 Section 004
Fall 2007 M203 Section 006
Spring 2007 M203
Fall 2006 M310
Spring 2006 M310
Spring 2006 M107
Fall 2005 Algebraic Geometry
Fall 2005 M314
Spring 2005 Algebraic Geometry
Spring 2005 M818
Fall 2004 M107
Fall 2004 M817
Spring 2004 M107
Spring 2004 M417
Fall 2003 M189H
Spring 03 M405
Spring 03 M417
Fall 2002 M189H
Fall 2002 M314
Spring 2002 M953
Fall 2001 M107
Fall 2001 M201
My Fall 2000 M314 Page
My Fall 2000 M200 Page
My Spr 2000 M203 Page
My Spr 2000 M452/852 Page
My Spr 99 M106 Page

Table Of Contents To Remaining Links

Math Resources