**Magdalena Toda**

**Associate
Professor **

**Director of
Undergraduate Studies**

**Department of
Mathematics and Statistics**

**Texas Tech
University**

**Lubbock TX
79409-1042**

** **

** **

**EDUCATION:**

2000: PhD Mathematics – University of Kansas

2000: PhD Mathematics – Polytechnic University Bucharest

1997: MA Mathematics – University of Kansas

1991: MS Mathematics – University of Bucharest

**EXPERIENCE: **

2010- Director of Undergraduate Studies, Mathematics and Statistics, TTU

2008 - Associate Professor, tenured, Texas Tech University

2001-2008 Assistant Professor, tenure-track, Texas Tech University

2000-2001 Assistant Professor, tenure-track, Ball State University

1995-2000 Graduate Student, Teaching Assistant, University of Kansas

1992-1995 Asistent Universitar, Polytechnic University Bucharest (Politehnica)

1991-1992 Preparator, Polytechnic University Bucharest - Mathematics

**RESEARCH AREA**: Differential Geometry, Geometric PDE, and
Integrable Systems

**SELECTED HONORS,
AWARDS and DISTINCTIONS**

2011 - Professing Excellence Award at Texas Tech University (one of 10 recipients at TTU), LEARNing TTU (Leadership, Education, Academics, Recruitment, & eNgagement) and University Housing.

2008 President’s Award for Excellence in Teaching, Texas Tech University

2008 Professor of the Year at Texas Tech University (KME Math Undergraduate)

2002 Professor of the Year at Texas Tech University (Math Undergraduate)

2000 Outstanding Teaching Assistant of the University of Kansas

1997 Florence Black Award for Excellence in Teaching

1995 George Soros Young Career Grant

**STUDENTS **

**Graduate
Students**

· Paragoda, Thanuja, PhD, expected to defend 2015

· Chalani Prematilake, PhD, expected to defend 2015, co-advised with Leif Ellingson

· Bhagya Athukorala, PhD, expected to defend 2013, co-advised with Ram Iyer

·
Kose, Zeynep, PhD, **graduated
**Dec 2010, co-advised with Eugenio Aulisa, partly supported from funding

·
Alin Tomoiaga, MS, **graduated**
Nov, 2006

·
Casey Hume, MS, **graduated**
June 2003; co-advised with G. B. Williams

** **

**Students
Advised as a Mentor **

** **

· Matthew Smith, URF Honors College Research Fellow, 2012/2013

· Carmen Gogu, Center of Undergraduate Research Conference, April 2012

· Xiaoxiao Jiang , TLTC Programs, Texas Tech University, 2008-09

- Ellen Durant, REU-NSF Program, Texas Tech University, Summer 2007
- Richmond Tarrant, REU-NSF Program, Texas Tech University, Summer 2007
- Robin Krenz, Honors College, Undergraduate Research Fellow, 2007-2008

**Selected Publications (refereed)**

** **

** **

1.
Toda, M., Aulisa, E., Kose, Z., Constructing isothermal
curvature line coordinates on surfaces which admit them*, Central European
Journal of Mathematics (CEJM), Springer - Versita, 11(11), in-press (2013).*

* *

* *

2. Toda, M., Forchheimer-type equations in conjunction with constant mean curvature graphs, AIP Conf. Proc. 1558, 887 (2013); http://dx.doi.org/10.1063/1.4825639 ; http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4825639

3. Toda, M., Athukoralage, B., Geometry of biological membranes and Willmore energy, American Institute of Physics, AIP Conf. Proc. 1558, 883 (2013);

http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4825638

4.
**M.
Toda, G. Bornia, Preface of the “Symposium on Geometric Methods for Integrable
Systems and PDE with Applications to Engineering, Biology and Medicine****”, ** AIP Conf. Proc. 1558, 869 (2013); http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4825634

5.
Toda, M., Weingarten surfaces with moving frames
- a tribute to S.S. Chern and C. L. Terng - and a duality result, *J P
Journal of Geometry and Topology*, 12(3), (2012), 263-289.

6.
Aulisa, E., Ibraguimov, A., Toda, M.: Geometric
Methods in the Analysis of Non-linear Flows in Porous Media - *Contemporary
Mathematics Proceedings of the AMS, Spectral Theory and Geometric Analysis, in
honor of M. Shubin; editor: Leonid Friedlander; vol.535, (2011), 27-42.*

7.
Toda, M., Rossman, W.: Corresponding constant
mean curvature surfaces in hyperbolic and Euclidean 3-spaces, *Pacific
Journal - Applied Mathematics, 3(1-2), (2011), pp 37-43; **http://arxiv.org/pdf/1005.2744v1.pdf*

8.
Kose, Z., Aulisa, E., Toda, M.: Solving Bonnet
Problems to construct families of surfaces, *International Conference –
Differential Geometry 2010, BJGA, 16 (2011), issue 2, 70-81.*

9.
Toda, M., Ibraguimov, A., Aulisa, E.: Geometric
Framework for Modeling Non-Linear Flows in Porous Media, and Its Applications
in Engineering , *Journal of Nonlinear Analysis - Real World Applications,
vol. 11, Issue 3, (2010), 1734-1751.*http://www.sciencedirect.com/science/article/pii/S1468121809001709

10. Toda, M., The Geometry of the cosh-Gordon Equation, *Proceedings
of the 5 ^{th} Conference on Geometry and Computer Graphics, (5 pp),
(2009).*

11. Iyer, R., Toda, M., Holsapple R*., **On an Optical Inertial Navigation System - **II, **IEEE Transactions on Automatic Control, **ISSN:
0018-9286, vol. 53, no. 8, (2008), pp 1864-1875.*

12. Paige, R., Seshaiyer, P., Toda, M., Student
Misconceptions Caused by Misuse of Technology,* International Journal for
Technology in Mathematics Education (former International Journal of Computer
Algebra), vol. 14, no.4, (2007).*

13. Toda, M., Initial Value Problems of the Sine-Gordon Equation and
Geometric Solutions,* Annals of Global Analysis and Geometry, vol. 27, no. 3,
(2005), pp 257-271.*

* *

14. Toda, M., Immersions of Constant Mean Curvature Surfaces in
Hyperbolic Space, *Differential Geometry – Dynamical Systems, vol. 7, no.1,
(2005), pp 111-126.*

* *

15. Inoguchi, J., Toda, M.,
Timelike Minimal Surfaces via Loop Groups,* Acta Applicandae Mathematicae, vol.
83, no. 1-2, (2004) , pp 313-355.*

* *

16. Dorfmeister, J., Inoguchi,
J., Toda, M., Weierstrass-type Representation of Timelike
Surfaces with Constant Mean Curvature in Minkowski 3-Space, Differential Geometry and Integrable Systems,* Contemporary
Mathematics **AMS, vol. 308 (2002), pp 77-100.*

* *

17. Toda, M., Weierstrass-type Representation of Weakly Regular
Pseudospherical Surfaces in Euclidean Space,* Balkan
Journal of Geometry and Analysis, vol. 7 (2002), no. 2, pp 87-136.*

* *

18. Toda, M., Udriste, C., Optimal Approximations on Riemannian
Manifolds, *Balkan Journal of Geometry and Analysis**,
vol. 4 (1999), no.1, pp 135-144.*

* *

19. Dorfmeister, J., Pedit, F., Toda, M., Minimal Surfaces via Loop
Groups, *Balkan Journal of Geometry and Analysis*,
vol.2 (1997), no.1, pp 25-40, app. 1998.

20. Sandru, M., Toda, M., Topological Aspects in Elementary Geometry, *TENSOR*,
*N.S.*, *Japan,* vol. 57 (1996) , no.1, pp 80-83.

21. Toda, M., Udriste, C., Influence of the Evolution Riemannian Metrics
on the Volume, *Proceedings of 23 ^{rd}
European Conference on Geometry and Topology *- Babes-Bolyai University,
Cluj-Napoca, 1993 - app. (1994), pp 194-202.

22. Toda, M., Udriste, C., Volume Dependence on the Riemannian Metric, *Proceedings of the International Workshop on Differential
Geometry and Applications*, *1993,* *Politehn. Univ. Bucharest Sci.
Bull. Ser. A, Appl. Math. Phys*., vol. 55 (1993), no. 3-4, pp 285-298.

23. Toda, M., A Family of Riemannian and Naturally Reductive Homogeneous
Spaces: A Classification, *Polytech. Inst. Bucharest
Scientific Bulletin, *vol. 53 (1991), no. 3-4, pp 329-335.

**Books, Textbooks (Reviewed and Refereed – Open Peer Review)**

** **

1.
Smith, K., Strauss, M., Toda, M. (2013). In
Kendall Hunt (Ed.), *Calculus* (6th ed., pp. 1160). Kendall Hunt
Publishing Company (formerly William C Brown Pub), July 18, 2013. **ISBN-10:**
1465208887

2.
Smith, K., Strauss, M., Toda, M. (2013). In
Kendall Hunt (Ed.), *Calculus** Special Edition* (6th ed., Special
Edition Ch 1-5 – used at Rutgers University). Kendall Hunt Publishing Company
(formerly William C Brown Pub). **ISBN-10:** 146522923X

3. Smith, K., Strauss, M., Toda, M. (2013). *Student* *Solutions
Manual for Calculus 6th Edition, by Smith, Strauss and Toda*. E-Book format.
Kendall Hunt.

4. Smith, K., Strauss, M., Toda, M. (2013). *Instructor’s Solutions
Manual for Calculus 6th Edition, by Smith, Strauss and Toda*. E-Book format.
Kendall Hunt.

**FUNDED RESEARCH**

**I. External FUNDING**

2009-2013

**Analysis of
Non-Linear Flows in Heterogeneous Porous Media and Applications, **total amount $226,000, National Science Foundation, Division of Mathematical Sciences, **DMS
0908177**, **CO-PI.** (Principal Investigator A. Ibragimov)

2008-2013

**South
Plains Mathematics Scholars**,
total amount $571,580, National Science Foundation, STEM: SCHLR SCI TECH ENG&MATH,
**CO-PI** (PI: George Brock Williams)

2003-2009

**Integrable systems, harmonic maps and Weierstrass
representation**, Central
European Science Foundation; total award $58,000, Programme 010603, **PI.**

2008-2009

**The
Emmy Noether Mathematics Days**, MAA, Tensor Projects, $4,500, **PI.**

2006-2008

**Multidisciplinary Summer Undergraduate Research
Program in Computation and Control of Biological and Biologically Inspired
Systems**, total amount $170,707,
National Science Foundation (REU Program) and Department of Defense (ASSURE
Program). **Senior Personnel.** Project advised: **Geometric Modelling of
the Compound Eye, jointly with Dr Ram Iyer. **

2003-2006

**The Joy of Thinking**, MAA-Tensor Foundation, $5,000 (graduate student stipend).
**PI.** (Co-P.I. J. Dwyer)

2001-2002

**Project NexT** **(New Experiences in Teaching) Travel
Grant** – supported by an AMS grant and the Department of Mathematics and
Statistics at Texas Tech University

1998-2000 **U.G.
Mitchell Summer Research Grant for Graduate Students**

**II. Internal FUNDING by Texas Tech University **

2005
**The Geometry of
Backlund Transformations, Research Enhancement Fund**, Summer 2005, $2,725.

PRESENTATIONS

###### I. Invited External Talks

**2013** Toda, M. –Constant mean curvature surfaces as
models of beta sheets, ICNAAM Conference, Greece, Sep 20-28, 2013.

**2013** Toda, M, SIAM Conference on Mathematical
and Computational Issues in Geosciences, University of Padova, June 17-20,
2013,” *Geometric PDE models for secondary structure in proteins”.*

**2012** Ibraguimov, A., Aulisa, E., Hoang, L.,
Toda, M., Bloshanskaya, L., SIAM Conference on Analysis of Partial Differential
Equations, SIAM, San Diego, CA, November 14-17, 2011, "*Stability of the
Generalized Forchheimer Flow in Porous Media*," (co-author; work
presented by A. Ibragimov).

**2010 ***Solving Bonnet Problems to Construct Families of Surfaces*, International Conference of DGDS 2010,
joint work with E. Aulisa and Z. Kose (presenter), Aug 2010.

**2008*** An up-scaling algorithm for non-Darcy flows in porous media*, Special Session 19, Multiscale Numerical
Methods for PDEs, 7^{th} AIMS International Conference on Dynamical
Systems, Differential Equations and Applications, joint work with E. Aulisa and
A. Ibragimov (presenter), May 2008.

**2007 ***Geometrical Frame-Work for Modeling Non-Linear Flows in Porous Media,
and Its Applications in Engineering*, SIAM-NSF Conference on Mathematics for Industry:
Challenges and Frontiers (MI07), Sec. on Numerical Analysis, Numerical PDE and
Clustering, joint work with E. Aulisa and A. Ibragimov, Oct
9-11, 2007

**2006 ***CMC surfaces in hyperbolic space*, CMC seminar talk, London Math Symposium, University of Durham, Conference on Geometric Methods on Integrable Systems, Aug 11-22,
2006.

**2005*** Harmonic maps into Lie groups*, invited talk, AMS Central Sectional Meeting #1006, Lubbock, Apr 8-10, 2005.

**2004*** Lorentz surfaces and the wave equation*, invited talk, Texas Topology and Geometry
Conference, TCU - UTA, Dallas Fort Worth, Feb 28, 2004.

* *

2003* Immersions of arbitrary
constant mean curvature in hyperbolic space*, invited talk, International
Conference on Differential Geometry and Its Applications and Sixth
German-Romanian Seminar, Babes-Bolyai University, Cluj-Napoca, Sep 1-6, 2003.

* *

**2003 ***Constant mean curvature surfaces in
hyperbolic space*, invited
talk, Southeast Geometry Conference, Charleston, South Carolina, March 30,
2003.

* *

**2002*** Constructing constants mean curvature
surfaces in the hyperbolic space, *invited talk, Discrete, Computational and Combinatorial Geometry
Conference – Satellite of the International Congress of Mathematicians, Beijing University, Beijing, August 13-19, 2002.

* *

**2001*** Constant mean curvature surfaces in Minkowski
3-Space, *invited seminar talk, Northern Illinois University, April 20, 2001.

* *

**2001*** Timelike surfaces of constant mean curvature and
their corresponding PDEs*, invited
talk, AMS Meeting, Lawrence, Kansas, March 30-31, 2001.

* *

**2000** *Pseudospherical surfaces via moving frames*, Department
of Mathematics and Statistics, Texas Tech University, February 11, 2000, colloquium
talk.

**2000** *Pseudospherical surfaces via moving frames*,
Department of Mathematical Sciences, Ball State University, February 4, 2000, colloquium
talk.

**2000 ***Hyperbolic surfaces*, 30 min invited talk, Special Session of Complex Hyperbolic Geometry,
AMS Joint Meeting, Jan 18-22, 2000.

**1997*** Minimal surfaces with loop groups, *invited talk, Special Session of Differential
Geometry, AMS Meeting, University of Wisconsin Milwaukee, Oct 24-25, 1997.

**1994** *Geometric
optimization methods,* invited talk, 3^{rd}
International Conference on Differential Geometry of the TENSOR Society, Japan,
Athens University, Greece, August 1994*.*

* *

* *

* *

* *

###### II. Talks given at Texas Tech University/Special Teaching and Research Activities

#### · Geometry Seminar – 2001-2008 (multiple talks).

#### · Applied Mathematics Seminar – 2011/2012 (two talks).

- Colloquium Talk – Integrable Systems in Geometry, Texas Tech University, Sep 27, 2007 – tenure and promotion candidate

· REU-NSF (Research Experiences for Undergraduates) Lectures:

*- What
every professional mathematician should know* - June 2007

*- Minimal
surfaces* - June 2007

· Emmy Noether High-School Day Workshops/Lectures:

- Emmy Noether High-School Day, May 4, 2005:

*Hyperbolic
Geometry: the whole world compressed in a disk*

- Emmy Noether High-School Day, May 4, 2004:

*2-D and 3-D
tiling: our dream houses- workshop for students and their teachers*

- Emmy Noether High-School Day, May 14, 2003:

*Geometric
Models in Physics – workshop for students and their teachers*

* *

- Summer Math Academy, June 2004 – 2 workshops, 1 hr each

* *

- Aftermath in the
Afternoon

- Math Extravaganza - Math Festival for K-12 students and their teachers

### SERVICE

** **

A. Departmental

· Director of Undergraduate Studies, Dept. Of Mathematics and Statistics, since Summer 2010

· KME Advisor and Representative of the Texas Alpha Chapter

· Member of the Executive Committee, Mathematics and Statistics - Texas Tech Univ. (2010-present)

· Chair of the Undergraduate Committee, Mathematics and Statistics - Texas Tech Univ.(2010-present)

·
Chair of the Organizing
Committee for the **Emmy Noether High-School Mathematics Day**, Texas Tech
University, *organized Editions: 2006, 2007, 2008, 2009, 2010, 2011, 2012,
2013*

· Member of the Strategic Planning Committee, 2012

· Member of the Travel Expenditures Committee, 2013

· Member of the Hiring Strategy Committee, 2007 and 2012

· Member of the Hiring Committee, 2007 -2008

· Served as REU Program Coordinator, June 11-25, 2007, (with E. Aulisa, P. Seshaiyer)

B. University Service

· Member of the Faculty Senate at Texas Tech University (2006-2010) and Senate Committee C

· Member of Graduate Scholarship Committee (2012)

· Member of the Family Care Committee (2006-2010)

C. Professional service

Referee for 7 professional journals between 2008-2013

Reviewer of scientific articles for Mathematical Reviews and Zentralblatt

Reviewer of scientific textbooks for:

Springer-Verlag NY, W.H.Freeman and Company Publishers, Mathematical Reviews AMS

· Editorial appointments:

· Editor for NOVA Publishers – Scientific Journals – special issue, Applied Mathematics.

Additional work with editors, between 2010-2013:

*Met with representatives of the following publishers: Wiley
and sons, Cengage, Pearson, Jones and Bartlett in order to review and discuss
textbooks, new editions and custom editions, and corresponding course
adoptions; together with the Undergraduate Committee and the Course
coordinators, adopted 10 new text-books, and 10 new editions of the existing
texts. *

### MEMBERSHIP IN PROFESSIONAL ORGANIZATIONS

- American Mathematical Society (AMS)
- Mathematical Association of America (MAA)
- Association for Women in Mathematics (AWM)
- Project NExT (New Experiences in Teaching) - lifetime