**Curriculum Vitae**

**Peter Dragnev**

Department of Mathematical Sciences

Indiana-Purdue University

2101 E. Coliseum Blvd.

Fort Wayne, IN 46805

Tel: (260) 481-6382

E-mail: dragnevp@ipfw.edu

__Education:__

PhD 1997 Department of Mathematics,
University of South Florida,

MS 1989, Department of Mathematics, Sofia
University, Sofia, Bulgaria.

BS 1987, Department of
Mathematics, Sofia State University, Sofia, Bulgaria.

__Employment Experience:__

07/11 12/11, 07/12 present: Interim
Chair, Department of Mathematical Sciences, IPFW, Fort Wayne, IN.

08/11 present: Professor, Department of
Mathematical Sciences, IPFW, Fort Wayne, IN.

08/03 08/11: Associate Professor, Department
of Mathematical Sciences, IPFW, Fort Wayne, IN.

07/98 08/03: Assistant Professor, Department
of Mathematical Sciences, IPFW, Fort Wayne, IN.

08/97 06/97: Visiting Assistant Professor,
Department of Mathematical Sciences, IPFW, Fort Wayne, IN.

08/92 08/97: Teaching Assistant, Department of
Mathematics, University of South Florida, Tampa.

08/90 08/92: Assistant, Department of
Mathematics, Plovdiv University, Bulgaria.

__Research Interests:__

**Real and Complex Analysis; Approximation
Theory; Potential Theory; Orthogonal Polynomials;** *minimal energy problems, logarithmic potentials, asymptotics of discrete orthogonal polynomials, Lebesgue function; points on the sphere;*

**Mathematics Subject Classification Numbers:** 26, 31, 33, 41, 43

__Academic Activities:__

Member of AMS, MAA, and
Sigma Xi Research Society.

IPFW Chapter President of
Sigma Xi Research Society for 2004, 2007.

Mini-Symposium Organizer, 12th International
Conference in Approximation Theory, San Antonio, TX March, 2007.

CONSTRUCTIVE
FUNCTIONS 2014 Scientific Committee member

__Research Grants:__

**PRF Summer Research Award 2003, PU**

* "Geometry of
Polynomials and Electrostatics"
*

__Awards: __

** **

**IPFW
Featured Faculty ** 2013

**Pippert**** Science Research Scholar **2012

**Fall**** 2011 COAS Distinguished Lecturer ***College
of Arts and Sciences, IPFW, November 2011*

**Research
in Pairs ***Oberwolfach Mathematics
Institute, Germany, May 2009*

**Leibniz
Fellow Guest Researcher ***Oberwolfach
Mathematics Institute, Germany, October 2008*

**IPFW
Research Fellow **Spring 2004

**Pippert**** Science Research Scholar **2003

**Researcher of the Year Award **2002, IPFW Sigma Xi Chapter

__Travel Grants:__

**NSF Supplemental Travel Grant ** 2001, 2007, NSF

**Austrian Science Foundation ** 2008, Technical University of Graz, Graz, Austria

**PRF International Travel Grant** 2001, 2010, 2012, Purdue University** **

**IU Overseas Conference Fund Grant ** 1999, 2007, 2009, Indiana University

**NATO Advanced Study Institute Local Grant ** 2000, NATO ASI Organizing committee

**FoCM**** Organizing Committee Local Grant ** 1999, City University of Hong Kong

**IPFW International Supplemental Travel Grant ** 1999, 2001, 2007, 2009, 2012, IPFW

__Research papers:__

1.
P. D. Dragnev, *On** a characterization theorem for stationary
Logarithmic configurations*, Oberwolfach reports, no. 40 (2012), 13-15, DOI:
10.4171/OWR/2012/40.

2.
J. Brauchart, P. D. Dragnev, E. B. Saff,
and C. E. Van de Woestijne, *A fascinating polynomial sequence arising from an
electrostatics problem on the sphere*,
Acta Math. Hungar., **137** (1),
(2012), 10-26.

3.
D. Benko, P. D. Dragnev, and V. Totik*, Convexity of harmonic densities,* Revista Math. Iberoamer., **28** (4),
(2012), 947-960.

4.
D. Benko, S. B. Damelin and P. D.
Dragnev*, On
supports of equilibrium measures with concave signed equilibria*,
J. Comput. Anal. Appl. **14 **(4), (2012), 752-766.

5.
D. Benko and P. D. Dragnev*,
Balayage ping pong: a convexity of equilibrium measures,* Constr. Approx., **36 **(2) (2012), 191-214.

6.
Peter Dragnev and
Erwin Mina-Diaz, *On** a series representation for Carleman
Orthogonal Polynomials*, Proc. AMS,**
****138 **(2010), 4271-4279.

7.
Peter Dragnev and
Erwin Mina-Diaz, *Asymptotic Behavior and
Zero Distribution of Carleman Orthogonal Polynomials*, J. Approx. Theory, **162** (11), (2010), 1982-2003.

8.
J. S. Brauchart, P. D. Dragnev, and E. B. Saff,
*Riesz extremal measures on the sphere for
axis-supported external fields * JMAA, **356**, no. 2, (2009), 769-792*.*

9.
J. S. Brauchart, P. D. Dragnev, and E. B. Saff,
*Minimal Riesz energy on the sphere for axis-supported external fields.*
Oberwolfach Preprint Series, OWP 2009-04 (2009), 1-44. __http://www.mfo.de/publications/owp/2009/OWP2009_04.pdf__

10.
P. D. Dragnev, J.
S. Brauchart, and E. B. Saff,
*On** an energy problem with Riesz external
field*, Oberwolfach reports, Volume 4, Issue 2 (2007), 1042-1044.

11.
P. D. Dragnev and
E. B. Saff, *Riesz spherical potentials with
external fields and minimal energy points separation*, Potential Anal. **26**
(2007), 139-162.

12.
D. Benko, S. B. Damelin and P. D.
Dragnev, *On the support of the equilibrium measure for arcs of the unit
circle and for real intervals,* ETNA **25** (2006), 27-40.

13.
P. D. Dragnev, D.
A. Legg, and D. W. Townsend, *Polynomial Approximation of the Checkmark
Function*, in Advances in Constructive Approximation, M. Neamtu
and E. B. Saff (edts),
(2004), 149-164.

14.
P. D. Dragnev, *On
the Separation of Logarithmic Points on the Sphere*, in Approximation Theory
X: Abstract and Classical Analysis, Charles Chui, Larry L. Schumaker,
and Joachim Stoeckler, (eds.), (2002), 137-144.

15.
P. D. Dragnev, D.
A. Legg, and D. W. Townsend, *Discrete Logarithmic Energy on the Sphere*,
Pacific J. Math. **207**, no. 2 (2002), 345-358.

16.
S. B. Damelin, P. D. Dragnev, and A. B. J. Kuijlaars *The
support of the equilibrium measure for a class of non-convex external fields on
a finite interval*, Pacific J. of Math. 199, no. 2 (2001), 303-320.

17.
D. Coroian and P. D. Dragnev, *Constrained Leja points and numerical solution of the constrained
energy problem*, J. Comp. and Appl. Math. **131**, no. 1-2 (2001),
427-444.

18.
P. D. Dragnev and
E. B. Saff, *A problem in Potential theory and zero
asymptotics of Krawtchouk
polynomials*, J. Approx. Theory **102**, (2000), 120-140.

19.
A.B.J. Kuijlaars
and P. D. Dragnev, *Equilibrium problems associated with fast decreasing
polynomials*, Proceedings of Amer. Math. Soc. **127**, no. 4 (1999),
1065-1074.

20.
P. D. Dragnev, D.
A. Legg and D. W. Townsend, *Generalized Bernstein-Erdos
Conjecture*, Approximation theory IX, Volume 1: Theoretical aspects, Charles
K. Chui and Larry Schumaker (eds.), (1998), 119-126.

21.
P. D. Dragnev and
E. B. Saff, *Constrained energy problems with
applications to orthogonal polynomials of a discrete variable,* Journal
Anal. Math., **72** (1997), 223-259.

22.
P. D. Dragnev and
E. B. Saff, *Open problems in Approximation theory,
Tampa * *96*, East Journal of Approx. **2**, no. 4 (1996), 499-517.

__Invited Presentations:__

·
**Vanderbilt University**, Nashville, TN,
Polarizations Seminar October, 2012

* On a characterization theorem for
stationary Logarithmic configurations*

·
**Western
Kentucky University**, Bowling Green, KY, Colloquium October, 2012

* Characterizing stationary Logarithmic
points*

·
**Indiana
University**,
Bloomington, Complex Analysis Seminar October, 2012

* Log-optimal points on the sphere*** **

·
**Optimal and
Near Optimal Configurations on Lattices and Manifolds**, MFO, Oberwolfach, Germany
August, 2012

*Discrete Minimal Energy
Problems Parts I and II*

·
**University of
Stuttgart**,
IANS Workshop on minimum energy problems, Stuttgart, Germany August, 2012

*Signed equilibrium and
balayage applications to minimal energy problems for logarithmic and Riesz
potentials*

·
**Bulgarian
Academy of Sciences**, Institute of Mathematics, Sofia, Bulgaria July, 2012

*Riesz
external field problems on the hypersphere and
optimal point separation*

·
**WSPOTA 2012**, Szeged, Hungary May,
2012

*Utilization of balayage
techniques to minimal energy problems for logarithmic and Riesz potentials*

·
**Vector
Equilibrium Problems and their applications to random matrix problems, AIM**, Palo Alto, CA April,
2012

·
**AMS Sectional
meeting 2012**,
Honolulu, HI March, 2012

* Riesz external field problems on the hypersphere and optimal point separation*

·
**COAS
Distinguished Lecturer ***College
of Arts and Sciences, IPFW, November 2011*

*Electrons, Buckyballs, and
Orifices: Nature's Way of Minimizing Energy*

·
**Barry
University**,
Miami, FL November, 2011

* **Electrons, Buckyballs, and
Orifices: Nature's Way of Minimizing Energy*

·
**University of
Central Florida**, Orlando, FL November, 2011

* **Convexity of harmonic densities *

·
**WKU Math
Symposium**, Bowling Green, KY
October, 2011

* A
fascinating polynomial sequence arising from an electrostatics problem on the
sphere*

·
**International
Symposium in Approximation Theory**,
Nashville, TN May, 2011

* A
fascinating polynomial sequence arising from an electrostatics problem on the
sphere*
Orthogonal Polynomials Mini- symposium

·
**New Perspectives in Univariate and
Multivariate Orthogonal Polynomials**, BIRS, Banff, Canada October, 2010

* Ping **pong balayage
and convexity of equilibrium measures*

·
**Troy
University Colloquium, **Troy, AL November 3,
2010** **

* Electrons, Buckyballs,
and Orifices: Nature's Way of Minimizing Energy*

·
**University of
South Alabama Colloquium, **Mobile, AL October 7,
2010** **

* Electrons, Buckyballs,
and Orifices: Nature's Way of Minimizing Energy*

·
**Math Circle**, Mobile, AL October 4, 2010 http://gauss.usouthal.edu/~mathcircle/

* Famous Sequences of Numbers: The
Untold Story of Difference Equations*

·
**University of
South Florida**, Tampa, FL October 1,
2010

* Ping
pong balayage and **convexity of
Riesz and logarithmic equilibrium measures*** **

·
**University of South Alabama**, Mobile,
AL September 30, 2010

* Discrete orthogonal
polynomials on the real line and constrained energy problem*

·
**University of South Alabama** Mobile,
AL September 29, 2010

* Orthogonal
polynomials on the real line and external field problem*

·
**University of
North Florida Colloquium, **Jacksonville, FL
September 24, 2010** **

* Ping pong balayage and **convexity of equilibrium measures*

·
**University of South Alabama** Mobile,
AL September 23, 2010

* On a classical
theorem of potential theory in the complex plane II*

·
**University of South Alabama** Mobile,
AL September 22, 2010

* On
a discrete Zolotarev problem with applications to the
Alternating Direction Implicit (ADI) method. *

·
**University of South Alabama** Mobile,
AL September 21, 2010

* On a classical
theorem of potential theory in the complex plane I*

·
**University of South Alabama**, Mobile, AL
September 14, 2010

* Generalization
of Bernstein-Erdos conjecture and the Lebesgue function*

·
**University of
South Alabama Colloquium, **Mobile, AL September
16, 2010** **

* Minimal energy problems and
applications: Ping pong balayage and **convexity of
equilibrium measures*

·
**University of South Alabama**, Mobile, AL
September 14, 2010

* Generalization
of Bernstein-Erdos conjecture and the Lebesgue function*

·
**University of
Mississippi Colloquium, **Oxford, MS September 10, 2010

* Ping **pong balayage and convexity of equilibrium measures*

·
**International
Conference Constructive Theory of Functions**, Sozopol, Bulgaria
June, 2010

* **The
asymptotic behavior of Carleman orthogonal polynomials*

·
**International
Conference Optimal Configurations on the Sphere and Other Manifolds**, Nashville, TN May, 2010

* **Separation
results for optimal Riesz energy points on the sphere and axis-supported
external fields*

·
**13 ^{th}
International Conference in Approximation Theory**, San Antonio, TX March, 2010

*The
asymptotic behavior of Carleman orthogonal polynomials* Frontiers in Orthogonal
Polynomials Mini-symposium

·
**Computational
Methods and Function Theory 2009, Ankara, Turkey ** June, 2009

*Axis-supported External Fields on the Sphere*

·
**Western
Kentucky University Math Symposium**,
Bowling Green, KY October, 2008

School Districts on Mars, Fuel Depots on Jupiter, Inimical Dictators on
Neptune?!* Or How to Arrange
Points on the Sphere*

·
**Technical University
Colloquium, **Graz, Austria October,
2008

*Iterative
balayage algorithm - applications to Riesz and logarithmic potentials*

·
**University of
South Alabama Math Circle**, Mobile, AL
October, 2008

*School Districts on Mars, Fuel Depots on
Jupiter, Inimical Dictators on Neptune?!** Or How to Arrange Points on the Sphere*

·
**University of
Mississippi Colloquium**, Oxford, MS
October, 2008

*Electrons,
Buckyballs, and Orifices: Natures Way of Minimizing
Energy*

·
**Western
Kentucky University Colloquium**,
Bowling Green, KY January, 2008

*Balayage Iteration and Minimal Energy
Problems*

·
**Modern
Approaches in Asymptotics of Polynomials**, BIRS, Banff, Canada November, 2007

*Iterative Balayage Techniques with
Applications to Riesz and Logarithmic Potentials*

·
**Geometric
Measure Theoretic Approaches to Potentials on Fractals and Manifolds**, Oberwolfach Mathematics Institute, Germany April,
2007 *"Minimal Energy Problems with Riesz External Fields and
Applications"*

·
**12 ^{th}
International Conference in Approximation Theory**, San Antonio, TX March, 2007

*On an
Energy Problem with Riesz External Field*

·
**Sofia
University Colloquium**, Sofia,
Bulgaria June, 2006

*Riesz
energy points distribution*

·
**Western
Kentucky University Colloquium**,
Bowling Green, KY April, 2006

*Minimal
Energy Points on the Sphere*

·
**Special
Session, 2005 AMS Sectional Meeting, **Bowling
Green, KY March, 2005* *

*Separation
of minimal s-energy points on the sphere*

·
**Constructive
Functions Tech-04, International Conference in Georgia Tech, **Atlanta, GA** ** November, 2004

*Riesz
spherical potentials with external fields and minimal energy points
separation*

·
**Special
Session AMS National meeting**,
Phoenix, AZ** ** January, 2004

*On a
class of classical polynomials, uniformly approximating the checkmark function*

·
**Vanderbilt
University Seminar**, Nashville, TN**
**October, 2003

*On a
discrete Zolotarev problem with applications to the
Alternating Direction Implicit (ADI) method*

·
**Troy
University Colloquium**, Troy, AL** **September,
2003

*Minimal
Arrangements on the Sphere*

·
**Advances in
Constructive Approximation 2003**,
Nashville, TN May, 2003

*Polynomial
Approximation of the Checkmark Function*

·
**Sigma Xi Brown
Bag talk**, IPFW December, 2002

*The Science of Spherical Arrangements - Fulerenes, Electrons, and Soccer Ball Designs*** **

·
**Constructive
Function Theory 2002**, Varna, Bulgaria
June, 2002* *

*Optimal Point Configurations on the Sphere*

·
**AMS regional
meeting -- Special Session, Chattanooga, TN ** October, 2001

*Logarithmic Points on the Sphere*

·
**Computational
Methods and Function Theory 2001, Portugal ** June, 2001

*Minimal Discrete Energy on the Sphere*

·
**Texas A&M
Colloquium ** March, 2001

*The support of the equilibrium measure*

·
**University of
Houston Colloquium- Downtown ** March,
2001

*Soccer ball design and energy problems*

·
**Indiana-Purdue
University ** April, 2000, Pi Math
Club

*Chemistry, Physics, and Mathematics behind the Soccer Ball Design Or How
to Distribute Dictators on a Planet*

·
**Plovdiv
University Colloquium, **Plovdiv, Bulgaria March, 2000

*Minimal problems and their applications to orthogonal polynomials*

·
**FoCM**** International
Workshop on Minimal Energy Problems, Hong Kong ** November, 1999

*Constrained energy problem and applications*

·
**University of
Akron Colloquium** September, 1998

*Constrained energy problem and discrete orthogonal polynomials*

·
**Katolieke**** Universiteit Colloquium**, Leuven, Belgium** ** July, 1998

*Constrained Leja points and numerical solution of
the constrained energy problem*

·
**Ohio State
University Seminar** November, 1997

*Constrained energy problem and zero asymptotics of
discrete orthogonal polynomials*

__Contributed Presentations:__

·
**MAA Indiana
Sectional Meeting**, Indianapolis, IN
October, 2011

* A
fascinating polynomial sequence arising from an electrostatics problem on the
sphere*

·
**11 ^{th}
International Conference in Approximation Theory**, Gatlinburg, TN May, 2004

* On a discrete Zolotarev
problem and its applications to the Alternating Direction Implicit (ADI) method*

·
**Sigma Xi
National Meeting**, Galveston, TX
November, 2002

*Spherical Arrangements with Minimal Energy*

·
**10 ^{th}
International Conference in Approximation Theory**, St. Louis, MO March, 2001

·
**NATO ASI and
International Conference on Special Functions 2000**, Tempe, AZ June, 2000

*The support of the equilibrium measure for a class of external fields on a
finite interval*

·
**AMS regional
meeting** Contributed Papers Session,
Buffalo, NY April, 1999

*Constrained Leja Points and Applications*