Alexander Iosevich
University of Missouri-Columbia
Department of Mathematics
202 Mathematical Sciences Bldg.
Columbia, MO 65211 USA
Last updated: August 21, 2008
Alexander Iosevich
University of Missouri-Columbia
Department of Mathematics
202 Mathematical Sciences Bldg.
Columbia, MO 65211 USA
Last updated: August 21, 2008
Contents:
Personal Information
Education
External Funding
Positions Held
Research Interests
Conferences Organized
Online Journal of Analytic Combinatorics
Selected
Community Educational Activities
Teaching Awards
Invited talks and research
stays
Lecture series
Published
Papers and Papers Accepted for Publication
Submitted Papers
Email: iosevich@math.missouri.edu
Columbia, MO, 65203
Date of Birth: December 14, 1967
Citizenship: United States of America
June 1993, Ph.D. in Pure Mathematics,
University of California at Los Angeles (UCLA)
Thesis: "Maximal
operators associated to families of flat curves and hypersurfaces"
Advisor: Christopher
Sogge
June 1989, BS in Pure Mathematics, University of Chicago
June 1997, United States National
Science Foundation Grant in Classical
Analysis, Grant Number
DMS97-06825 Amount: $53,000
March 2000, United States National Science
Foundation Grant in Classical
Analysis, Grant Number
DMS00-87339 Amount: $77,000
March 2003, United States National
Science Foundation Grant in Classical
Analysis, Grant
Number DMS02-45369 Amount: $114,000
June 2005, United States National Science Foundation Collaborative
Research Grant
Analysis, Grant Number DMS04-56306 Amount: $474,245
September 1, 2005-Present, Professor of
Mathematics, University of
Missouri-Columbia, Columbia, Missouri
January 1, 2008-July 31, 2008, Visiting Faculty and Program Organizer,
Fields Institute of Mathematics, Toronto, Canada
September 1, 2002 to August 31, 2005, Associate
Professor in Department of Mathematics, University of Missouri-Columbia,
Columbia, Missouri
July 2000 to September 2002, Assistant
Professor in Department of Mathematics, University of Missouri-Columbia,
Columbia, Missouri
May 2000 to April 2001, tenured Associate
Professor in Department of Mathematics,
Georgetown
University, Washington, District of Columbia
July 1998 to May 2000, Assistant Professor
in Department of Mathematics,
Georgetown
University, Washington, District of Columbia
Summer 1999, University of Illinois at
Chicago, joint research with N. Katz facilitated by a CRB Grant.
September 1995 to December 1998, Assistant
Professor in Department of
Mathematics, Wright State University,
Dayton, Ohio
June/July 1998, Visiting Research
Fellowship, University of New South Wales, Sydney, Australia.
Fall 1997, General Membership at the
Mathematical Sciences Research Institute, Berkeley, California
September 1993 to September 1995,
Postdoctoral Fellow, McMaster
University,
Hamilton, Ontario, Canada
September 1989 to September 1993,
Graduate Student, Teaching Assistant and
Research Fellow, UCLA, Los Angeles, California
Classical Analysis with Application to
Partial Differential Equations
Fourier Integral Operators
Geometric Combinatorics and Geometric
Measure Theory
Analytic Number Theory
Convex Geometry and Probability Theory
Fields Institute Program, entitled "Trends
in Harmonic Analysis", January 1- June 30, 2008. (Member of the
organizing committee along with I. Laba, M. Lacey, and E. Sawyer).
AMS Special Session, Davidson,
North Carolina, March 2007 (with M. Lacey and K. Oskolkov).
AMS Special Session, Salt Lake
City, Utah, October 3-5, 2006 (with M. Lacey).
Combinatorial
and additive
number theory
(CANT 2005). A conference in celebration of Mel Nathanson’s 60th
birthday. (Member of the organizing committee).
CMS conference at Simon
Fraser University in Vancouver (with I. Laba), December 6-8, 2003.
ESI (Schrodinger
Insitute in Vienna) Workshop on mathematics related to the Kakeya
Needle Problem, (with I. Laba and D. Muller), Vienna, Austria, Fall
2003.
A conference on
Harmonic Analysis and Partial Differential Equations at the
University of Missouri, May 8-11, 2002, (with L. Grafakos, S. Hofmann,
and I. Verbitsky).
Workshop
on convexity and Fourier analysis, (with L. Brandolini, L. Colzani,
and G. Travaglini), Milan, Italy, June 2001.
Online Journal of Analytic Combinatorics:
Izabella Laba, Sinai
Robins and I have recently launched a new journal- Online
Journal of Analytic Combinatorics, or OJAC for short. Please check out
the OJAC web page at http://www.ojac.org!
Selected community educational activities:
Summer program for high school students
on Fourier analysis in finite fields at the University of Missouri,
July 24-28, 2006.
Campus Writing Program's Fall 2005
Faculty Workshop
Summer
program for high school students
on the Erdos distance problem at the University of Missouri, August
1-5, 2005.
Putnam coach, 2000-Present
MU McNair scholars program-
departmental liason, 2004-Present
Summer
program for high school students
on geometric combinatorics at the University of Missouri, August 9-13
2004.
Volunteer for the 2004 MAA High School Lectureship Program.
Faculty mentor for the University
of Missouri summer minority outreach program, Summer 2003, mentor for
Ivy Hunter.
Participant
in the Teaching Renewal Conference at the University of Missouri 2002.
Member of the Judge Panel of the 2000 USA
College Academic Team. Sponsored by USA TODAY, 2000.
High School Outreach Program, sponsored by
Wright State University, 1996.
Volunteer tutor, Bret Harte Elementary
School, Chicago, Illinois, 1986.
Nominated for Provost's Outstanding
Junior Faculty Teaching Award, University of Missouri, 2003
Wolper's house teaching award, University
of Missouri, 2001.
Wright State University Athletics
Department Award, 1997.
Wright State University Athletics
Department Award, 1995.
Nominated for Undergraduate Student
Government Teaching Award at McMaster University, 1994.
Invited
Talks and Research Stays:
2009
April 2009 (upcoming), an invited
lecture at the Spring Lecture Series 2009, University of Arkansas
Title: TBA
2008
September 2008, An invited lecture at
Oberwolfach (Discrete Geometry)
Title: Geometric
configurations in Euclidean, integer and finite
field geometries: combinatorial and algebraic aspects
July 2008, An invited lecture at the
University of Crete
Title: Mixed norm restriction theorems and connections with
fractal geometry
July 2008, An invited lecture at the University of Padova
Title: Geometric
configurations in Euclidean, integer and finite
field geometries
July 2008, An invited lecture at the University of Torino
Title: Geometric
configurations in Euclidean, integer and finite
field geometries
July 2008, An invited lecture at Oberwolfach (Harmonic Analysis)
Title: Geometric configurations in Euclidean, integer and finite
field geometries
June 2008, An invited lecture at the Arizona State University MTBI
program
Title: Geometric configurations: an elementary viewpoint
April 2008, A seminar lecture at Wayne State University
Title: Fourier analysis in vector spaces over finite fields
April 2008, An invited lecture at the Fields Institute Conference on
Additive Number Theory
Title: Distribution of dot products in vector spaces in finite
fields and applications to problems in additive number theory and
geometric combinatorics
March 2008, A colloquium talk at the McMaster University
Title: Harmonic analysis in vector spaces over finite fields and
applications to additive combinatorics
2007
October 2007, A seminar
talk at the Louisiana State University
Title: Radon transforms and
applications to problems in additive
number theory
October 2007, A colloquium at the
Louisiana
State University
Title: Incidence
theory: discrete, continous and arithmetic aspects
October 2007, An invited 50 minute address
to the American
Mathematical Society at DePaul University, Chicago
Title: Incidence
theory: discrete, continous and arithmetic aspects
October 2007, A colloquium talk at the University of
Indiana, Bloomington
Title: Sums and products in finite fields- an analytic
perspective
September 2007, An invited lecture at the agebra seminar at
Emory
Title: Sums and products in finite fields
September 2007, An invited lecture at the analysis seminar
at Georgia Tech
Title: Radon transforms and applications to problems in additive
number theory
September 2007, An invited lecture at a mini-conference on
discrepancy theory at the University of South Carolina
Title: Radon transforms and applications to problems in additive
number theory
September 2007, A colloquium lecture at the University of Cincinnati
Title: Radon transforms and
applications to problems in additive number theory
September 2007, (upcoming), A seminar talk at the Georgia Institute of
Technology
Title: Sums and products in
finite fields- an analytic perspective
August 2007, A seminar talk at UMKC (Kansas City)
Title: Sums and products
June 2007, An invited lecture at the University of Padova
Title: Integral geometric
viewpoint on sums and products in finite fields
June 2007, An invited lecture at the University of Bologna
Title: Incidence theory via Fourier analysis in vector spaces
over finite fields
June 2007, An invited lecture at the University of Milan
Title: Integral geometric
viewpoint on sums and products in finite fields
May 2007, An invited lecture at the annual meeting of Italian harmonic
analysts at Caramanico
Title: Incidence theory via Fourier analysis and applications to
geometry and arithmetic
May 2007, A seminar lecture at the University of Bergamo
Title: Integral geometric viewpoint on sums and products in
finite fields
April 2007, DePaul University analysis seminar
Title: Fourier analysis and incidence theory
March 2007, A colloquium lecture at the Bogazici University
Title: Analytic, combinatorial and number theoretic aspects of
incidence theory
March 2007, A lecture at the Istanbul Institute of
Mathematics
Title: Sums/Products via Fourier analysis
March 2007, King's College, London, an analysis seminar
lecture
Title: Ramsey Theory and Fourier analysis
March 2007, An invited 50
minute address to the American Mathematical Society at Davidson
College, North Carolina
Title: Incidence theory: discrete, continous and
arithmetic aspects
January 2007, An invited lecture at Bar-Ilan University
Title: Geometric combinatorics via Fourier analysis
2006
November 2006, A seminar talk at the
University of Crete
Title: Sums and products in
finite fields via Kloosterman sum estimates.
October 2006, AMS lecture
in Salt Lake City, Utah
Title: Sums and products in finite fields via Kloosterman
sum estimates.
September 2006, A seminar lecture at Michigan State
University
Title: Erdos/Falconer distance problem in vector spaces
over finite fields.
August 2006, An invited lecture at the Rudelson CBMS
lecture series conference at Kent State University
Title: Analysis,
combinatorics and number theory of the Mattila
integral.
July 2006, An invited
lecture at the Koldobsky CBMS lecture series conference at the Kansas
State University
Title: Analysis,
combinatorics and number theory of the Mattila
integral.
July 2006, A lecture at the Universidad Autonoma Barcelona (CRM)
Title: Analysis,
combinatorics and number theory of the Mattila
integral.
July 2006, A lecture at the University of Milano
Title: Analysis,
combinatorics and number theory of the Mattila
integral-lattice points on surfaces.
July 2006, A lecture at the University of Bergamo
Title: Analysis,
combinatorics and number theory of the Mattila
integral-Fourier analysis in finite fields.
June 2006, a plenary
lecture at Harmonic Analysis conference in Zharos, Crete
Title: Analysis, combinatorics and number theory of
the Mattila
integral.
April 2006, AMS Special
Session in Miami
Title: Erdos/Falconer distance problem in vector
spaces over
finite fields
March 2006, Combinatoria Number Theory program in Montreal
Title: Fourier analytic approach to incidence
theorems in vector
spaces over finite fields
January 2006, Colloquium at Northeastern University
Title: Analytic, combinatorial and number theoretic
aspects of distance set theory
January 2006, Colloquium at the University of Georgia
Title: Analytic,
combinatorial and number theoretic aspects of distance set theory
January 2006, Analysis Seminar, University of Crete
Title: Erdos/Falconer distance problems in vector
spaces
over finite fields
January 2006, Pure Mathematics Seminar, University of Bristol
Title: Erdos/Falconer distance problem in vector
spaces
over finite fields
2005
2004
September 2004 AIM
workshop
on additive number theory/ geometric combinatorics
July 2004 Trimester in Harmonic Analysis,
Pisa, Italy
Title: Average decay
of the Fourier transform and applications
June 2004 University of
Madrid, Spain, Analysis Seminar
Title: Combinatorial complexity of convex sequences
and
related problems in combinatorial geometry
June 2004 Trimester in Harmonic Analysis, Pisa, Italy
Title: Combinatorial complexity of convex sequences
and
connections with Fourier analysis
May 2004 Georgia Institute of Technology;
an invited lecture associated with
a series of CBMS lectures to be delivered
by C. Thiele.
Title: Combinatorial
complexity of convex sequences
May 2004 CUNY Conference on Additive and
Combinatorial Number Theory
Title: Combinatorial
complexity of convex sequences
May 2004
University of Edinburgh
Title: Some remarks on the Mattila integral and related
problems
May 2004, University of Bristol, England
Title: Mean square
discrepancy bounds for the distribution of lattice points in convex
domains
April 2004, University of Athens
Title: Convex sequences and the Erdos/Falconer distance
problems
April 2004, University of Crete
Title: Some remarks on
the
Mattila integral
March 2004 Annual meeting of the Italian
harmonic analysts (plenary lecture)
Title: Some remarks on
the
Mattila integral
March 2004 University of Bergamo,
Italy, seminar
Title: Average decay
of Fourier transforms of measures and applications
March 2004 University of Milano, Italy,
seminar
Title: Combinatorial
complexity of convex sequences and related problems
March 2004 Florida State University, AMS
Special Session on Harmonic Analysis
Title: Combinatorial
complexity of convex sequences
February 2004 University of Michigan
(differential equations seminar)
Title: Average decay
of the Fourier transform, Salem sets, and related problems
January 2004, Temple University,
Philadelphia (colloquium)
Title: Combinatorial
complexity of convex sequences: combinatorial and analytic methods
2003
December 2003, University of
British Columbia (research collaboration with I. Laba)
November 2003, University of
California-Los Angeles
Title: Distribution of
lattice points in convex domains: mean square estimates
October 2003, Conference on additive
number theory, University of West Georgia
Title: Distribution of
lattice points in convex domains: mean square estimates
October 2003, University of
Wisconsin-Madison
Title: A Weyl type formula
for exponential spectra and frames
June 2003, Harmonic Analysis and Partial
DIfferential Equations; Annual Summer Session
Title: Combinatorial
approach to orthogonal exponentials
June 2003, Joint meeting of the Real
Sociedad Mathematika Espanola and the AMS in Seville, Spain
Title: Variants of the
Falconer and Erdos distance problems
June 2003, University of Milan
Title: Variants of the
Falconer and Erdos distance problems
May 2003, Conference on additive
number theory and applications to harmonic analysis
Title: Applications of
geometric measure and geometric combinatorics in harmonic analysis
May 2003, Princeton University Analysis
Seminar
Title: Combinatorics of
distance sets and applications
April 2003, Riviere-Fabes Symposium in
Analysis
Title: Analysis and
combinatorics of distance set
March 2003, The Erwin Schrodinger
International Institute for Mathematical Physics
Title: Analysis and
combinatorics of distances sets
February 2003, Georgia Institute of
Techology (research collaboration)
2002
October 2002, AMS Special Session in
Madison, Wisconsin
Title: "Distribution
of lattice points inside random ellipsoids"
July 2002, Convex geometry workshop in
Vancouver, Canada
Title: "Lattice points
inside random ellipses"
June 2002, University of Milano, Bicocca
Title: "Distribution
of lattice points inside random ellipses"
June 2002, University of Pisa, AMS Special
Session
Title: "Convex bodies,
orthogonal exponentials and geometric combinatorics"
June 2002, Universidad Autonoma de Madrid
Title: "Some elementary
combinatorial geometry and applications to harmonic analysis"
June 2002, University of Iraklion, Crete
Title: "Lattice points inside
random ellipses"
March 2002, McGill University, Montreal,
Canada
Title: "Average decay of the
Fourier transform and distribution of lattice points in convex domains"
March 2002, AMS Special Session in
Harmonic Analysis
Title: "Average decay of the
Fourier transform and applications"
January 2002, Universita di Milano-Bicocca
Title: "Applications
of the average decay of the Fourier transform of measures"
2001
December 2001, Georgia Institute of
Technology
November 2001, Colloquium, Case Western
Reserve University
Title: "Combinatorics of
convex sets and applications"
November 2001, Seminar, University of
Wisconsin, Madison
Title: "Combinatorics of
convex sets and applications"
November 2001, Research visit at McMaster
University, Hamilton, Ontario
October 2001, Seminar, University
of Bristol, England
Title: "Combinatorial
approach to orthogonal exponentials"
September 2001, Colloquium ,
University of British Columbia,Vancouver, British Columbia, Canada
Title: "Combinatorial aspects
of convexity"
August 2001, Convex geometry conference in
Anogia, Crete
Title: "Various notions
of dimension of convex sets and applications"
May 2001, Partial Differential Equations
Seminar, University of Missouri-Columbia
Title: "Regularity of
generalized Schrodinger equations"
May 2001, Algebra Seminar, University of
Missouri-Columbia
Title: "Quadratic forms
and the Steinhaus tiling problem"
March 2001, Oscillatory Integrals
and Dispersive Equations, IPAM conference in Los Angeles, California
July
2001, Mt. Holyoke Harmonic Analysis/ PDE AMS conference
Title: "Distribution
of lattice points in convex domains"
April 2001, University of Milan-Bicocca
Title: "Extracting geometric
information from square functions"
March 2001, AMS Special Session in
Harmonic Analysis, Lawrence, Kansas
Title: "Distribution
of lattice points inside convex domains"
2000
December 2000, Meeting of the Canadian
Mathematical Society, Vancouver, British Columbia, Canada
Title: "Distribution
of lattice points in convex domains and the geometry of the Gauss map"
November 2000, University of
Wisconsin-Madison
Title: "Distribution
of lattice points in convex domains and the geometry of the Gauss map"
November 2000, McMaster University,
Hamilton, Ontario
Research collaboration with
Eric Sawyer
November 2000, Banach space seminar,
University of Missouri-Columbia
Title: "Exponential bases and
tiling- combinatorics and the Fourier transform"
October 2000, Northwestern University,
Chicago, Illinois
Title: "Distribution
of lattice points in convex domains and related problems"
October 2000, Special Session in Harmonic
Analysis, San Francisco, California
Title: "Distribution
of lattice points in convex domains"
September 2000, Analysis seminar,
Washington University in St. Louis
Title: "Distribution
of lattice points in convex domains"
September -November 2000, Probability seminiar, University of
Missouri-Columbia
Title: "A brief introduction
to the Kakeya problem and related issues"
July 2000, Meeting of harmonic analysts at
El Escorial, Spain.
June 2000, Meeting of the Greek analysts
in Iraklion, Crete
Title: "Fourier bases and the
associated combinatorics"
June 2000, University of Iraklion, Crete
Title: "Distribution of
lattice points in convex planar domains"
June 2000, University of Milan-Bicocca
Title: "Elementary
applications of the pigeon-hole principle in analysis"
June 2000, Annual meeting of the Italian
harmonic analysts
Title: "Distribution of
lattice points in convex domains"
February 2000, University of
Missouri-Columbia
Title: "The role of
Gaussian curvature in harmonic analysis"
February 2000, Syracuse University
Title: "Fourier bases,
tiling, and the Erdos Distance Problem"
February 2000, McMaster University
Joint research with E.
Sawyer
1999
December 1999, University of Wisconsin-
Madison.
Title: "Fourier bases,
tiling, and the Erdos Distance Problem"
August 1999, University of Illinois at
Chicago
Joint research with N.
Katz facilitated by a CRB Grant.
August 1999, University of Illinois at
Chicago
Title: "Fourier basis,
orthogonality, and a variant of Erdös distance problem"
July 1999, Joint meeting of the American
and Australian Mathematical Societies.
Title: "Fourier basis,
fractals, and the Erdös distance problem"
June
1999, University of Milan
Title: "Maximal averages
over fractals"
June 1999, Meeting of the Italian
Mathematical Society, Aosta, Italy
Title: "Fourier basis and
the Erdös distance problem"
May 1999, Wright State University
Title: "The role of
curvature in harmonic analysis"
March 1999, McMaster University
Title: "Averages over
surfaces and related problems"
March 1999, Wright State University
Joint research with S.
Pedersen.
March 1999, Indiana University Purdue
University Indianapolis
Joint research with E.
Sawyer.
February 1999, University of
Maryland-College Park
Title: "Lattice points,
Fourier bases, and related problems"
January 1999, Conference on
Singular and Oscillatory Integrals in honor of Steve Wainger,
University of Wisconsin, Madison,
Wisconsin
Title: "Lattice points,
Fourier bases, and related problems"
1998
September 1998, AMS Special Session on
orthogonal polynomials and related problems,
DePaul University, Chicago, Illinois
Title: "Smooth
hypersurfaces of infinite type"
August 1998, GAFFA Conference, Kiel,
Germany
Title: "Lp
improving properties of measures supported on convex finite type
hypersurfaces"
July 1998, Visiting Research
Fellowship, University of Milan, Milan, Italy
July 1998, University of Turin, Turin,
Italy
Title: Lp
improving properties of measures supported on convex hypersurfaces"
June/July 1998, Visiting Research
Fellowship, University of New South Wales, Sydney, Australia.
July 1998, Department of Mathematics
Analysis Seminar, Macquarie University, Sydney, Australia
Title: "Maximal operators
over smooth hypersurfaces"
June 1998, Department of Mathematics,
University of New South Wales, Sydney, Australia
Title: "Averages over
convex hypersurfaces"
April 1998, Dixieland Analysis Conference,
Emory University, Atlanta, Georgia
Title: "Lp
improving properties of measures supported on convex hypersurfaces"
April 1998, Department of Mathematics,
Georgia Institute of Technology, Atlanta, Georgia
Title: "Averages over
convex surfaces"
February 1998, Department of Mathematics,
Johns Hopkins University, Baltimore, Maryland
Title: "Maximal averages
over surfaces"
February 1998, Department of Mathematics,
Georgetown University, Washington,
District of Columbia
Title: "Averages over
convex hypersurfaces"
1997
Fall 1997, General Membership at the
Mathematical Sciences Research Institute, Berkeley, California
November 1997, Visiting Research
Fellowship, University of Naples, Naples, Italy
November 1997, Department of Mathematics,
University of Naples, Naples, Italy
Title: "Scaling
properties of infinitely flat curves and surfaces"
November 1997, Department of Mathematics,
University of Milan, Milan, Italy
Title: "Scaling
properties of infinitely flat curves and surfaces"
October 1997, Department of Mathematics,
University of Rochester, Rochester, New York
Title: "Scaling
properties of convex hypersurfaces"
September 1997, Mathematical Sciences
Research Institute, Berkeley, California
Title: "Scaling properties
of convex finite type hypersurfaces"
September 1997, Department of Mathematics,
Florida State University, Tallahassee, Florida
Title: "Scaling
properties of convex hypersurfaces"
September 1997, Integrable Systems &
Nonlinear PDE Seminar, Department of Mathematical Sciences,
Indiana University Purdue University
Indianapolis, Indianapolis, Indiana
Title: "Scaling
properties of infinitely flat curves and surfaces"
May 1997, European Union HCM "Fourier Analysis Network" Harmonic
Analysis in Varenna Meeting, Varenna, Italy
Title: "Averages over
convex hypersurfaces"
March 1997, Wright State University
Analysis Seminar, Dayton, Ohio
Title: "Fourier
transform, restriction theorems, and scaling"
March 1997, American Mathematical
Society Annual Analysis Conference in Auburn, Alabama
Title: "Maximal averages
over convex surfaces"
1996
December 1996, Department of
Mathematics, University of Wisconsin, Madison, Wisconsin
Title: "Maximal averages,
convex hypersurfaces, and rotational curvature in time"
October 1996, Department of Mathematics
Colloquium, University of Cincinnati, Cincinnati, Ohio
Title: "The Fundamental
Theorem of Calculus and Beyond"
July 1996, Department of Mathematics,
University of Turin, Turin, Italy
Title: "Schulz?s Theorem,
mixed homogeneity, and maximal operators"
July 1996, Department of Mathematics,
University of Naples, Naples, Italy
Title: "Maximal
operators in Harmonic Analysis"
June 1996, Department of Mathematics,
McMaster University, Hamilton, Ontario, Canada
Title: "Maximal averages
over mixed homogeneous surfaces"
1995
December 1995, Department of
Mathematics, University of Wisconsin, Madison, Wisconsin
Title: "Oscillatory
integrals with homogeneous phases and maximal averages over surfaces"
November 1995, American Mathematical
Society Conference in Kent, Ohio, Special Session on
Harmonic Analysis and Applications, Kent
State University, Kent, Ohio
Title: "Averaging
and maximal averaging operators associated to homogeneous hypersurfaces"
February 1995, Analysis Seminar, University of Toronto, Toronto,
Ontario, Canada
Title: "Maximal operators
and oscillatory integrals associated to finite type hypersurfaces"
1994
September 1994, Harmonic Analysis
Seminar, McMaster University, Hamilton, Ontario, Canada
Title: "(Lp,Lq)
mapping properties of averaging operators associated to homogeneous
hypersurfaces"
May 1994, Harmonic Analysis Seminar,
McMaster University
Title: "Maximal operators
associated to homogeneous and mixed homogeneous hypersurfaces in R3
"
June 1994, Functional Analysis Seminar, Technion, Haifa, Israel
Title: "Maximal operators
associated to homogeneous hypersurfaces in Rn"
June 1994, Mathematics Colloquium,
University of Naples, Naples, Italy
Title: "Maximal operators
in Harmonic Analysis"
May 1994, Analysis Seminar, UCLA,
Los Angeles, California
Title: "Weighted
oscillatory integrals and the associated maximal operators"
1993
November 1993, Harmonic Analysis
Seminar, McMaster University
Title: "A restriction
theorem for operators associated to homogeneous manifolds in
codimension two"
1991
March 1991, Classical Analysis Seminar,
UCLA, Los Angeles, California
Title: "Maximal operators
associated to families of flat curves in the plane"
November 2006, A lecture series on harmonic analysis in vector spaces
over finite fields at the University of Bristol (four lectures)
May 2006, CUNY, New York, CANT 2006
(three lectures)
Title: "Three lectures on analytic, combinatorial and
number theoretic aspects of incidence theory".
June 2002, University of Padova,
Minicorsi di Analisi Matematica (three
lectures)
Title: "Geometric
combinatorics and applications to analysis"
July 1998, A series of talks at the
University of Milan on avergaing operators over hypersurfaces.
PUBLICATIONS:
Published Papers and Papers Accepted for Publication:
The published papers are listed
first, organized by year of publication. Accepted papers are listed
below, immediately following the published papers.
2008
Ubiquity of simplexes in vector spaces over finite fields, (with D. Hart), (Analysis Mathematica, volume 34 (2008)).
2007
A view from the top: analysis,
combinatorics and number theory, (book), AMS Student
Library Series, volume 39.
On
distance
measures for
well-distributed sets, (with M. Rudnev), Journal
of Discrete and Computational Geometry, vol. 38, (2007),
2006
2005
2004
Fourier analysis and convexity. Edited by Luca Brandolini, Leonardo Colzani, Alex Iosevich and Giancarlo Travaglini. Applied and Numerical Harmonic Analysis. Birkhäuser Boston, Inc., Boston, MA
Lattice
points inside random ellipsoids, (with S. Hofmann and D. Weidinger),
Michigan Math. J. 52 (2004), no. 1, pages 13-21.
Distance sets of well-distributed planar sets, (with I. Laba),
Journal of Discrete and Computational Geometry, vol. 31 no. 2, pages
243-250.
2003
2002
2001
2000
1999
1998
1997
1996
Averages over homogeneous hypersurfaces, Forum Mathematicum, Volume 8 (1996), Number 2, pp. 219-235.
1995
1994
On rapid generation of $SL_2({\Bbb
F}_q)$, (with J. Chapman), (to be submitted soon).
Dot product sets in the plane, (with S.
Senger), (to be submitted soon).
Pinned
distance sets, Wolff's exponent in finite fields and improved
sum-product estimates, (with D. Hart), (submitted for publication).
Generalized
incidence theorems, homogeneous forms and sum-product estimates in
finite fields, (with D. Covert, D. Hart, D. Koh and M. Rudnev),
(submitted for publication).
Distance
graphs in vector spaces over finite fields, coloring and
pseudo-randomness, (with D. Hart, D. Koh, S. Senger and I.
Uriarte-Tuero), (submitted for publication)
Extension
theorems for spheres in the finite fields setting, (with D. Koh),
(submitted for publication).