Magdalena D. 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, Texas Tech University. |
| 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
I. Graduate Students
- Paragoda, Thanuja, PhD, expected to defend 2015
- Bhagya Athukorala, PhD, expected to defend 2013, co-advised with Ram Iyer
- Chalani Prematilake, PhD, expected to defend 2014, co-advised with Leif Ellingson
- Kose, Zeynep, PhD, defended Dec 2010, co-advised with Eugenio Aulisa, partly supported from funding
- Alin Tomoiaga, MS,defended Nov, 2006.
- Casey Hume, MS, defended June 2003; co-advised with G. B. Williams.
II. 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 (out of a total of over 25)
Toda, M., Aulisa, E., Kose, Z. (2013).
Constructing isothermal curvature line coordinates on surfaces which admit them.
Central European Journal of Mathematics (CEJM), 11(6), in-press.
Toda, M. (2012).
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), Nov 2012, 263-289.
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; accepted, in press – 2010.
Toda, M., Rossman, W.
Corresponding constant mean curvature surfaces in hyperbolic and Euclidean 3-spaces,
Pacific Journal - Applied Mathematics, Pacific Journal Applied Mathematics, Geometry and PDEs - Special Issue - in memory of H. Wu, 3(1-2),
pp 37-43,
http://arxiv.org/pdf/1005.2744v1.pdf.
Kose, Z., Aulisa, E., Toda, M.,
Solving Bonnet Problems to construct families of surfaces,
Differential Geometry - Dynamical Systems, International Conference DGDS 2010, Aug 2010.
Toda, M, Ibraguimov, A, Aulisa, E.,
Geometric Frame-Work for
Modeling Non-Linear Flows in Porous Media and Its Applications in Engineering,
Journal of Non-linear Analysis - Real World Applications, vol.
11, Issue 3, 2010, 1734-1751,
http://www.sciencedirect.com/science/article/pii/S1468121809001709.
Toda, M.,
Spectral Deformations of Constant Mean Curvature
Surfaces,
Proceedings of the 2nd Symposium on Mathematical
Methods in Theoretical Physics, 2009, (11 pp), (2011).
Toda, M.,
The Geometry of the cosh-Gordon Equation,
Proceedings of the 5th Conference on Geometry and Computer Graphics- 2007, (5 pp), (2009).
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.
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).
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.
Toda, M.,
Immersions of Constant Mean Curvature in Hyperbolic Space,
Differential Geometry Dynamical Systems,
vol. 7, no.1, (2005), pp 111-126.
Inoguchi, J., Toda, M.,
Timelike Minimal Surfaces via Loop Groups,
Acta Applicandae Mathematicae, vol. 83, no. 1-2, (2004) , pp 313-355.
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.
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.
Toda, M., Udriste, C.,
Optimal Approximations on Riemannian Manifolds,
Balkan Journal of Geometry and Analysis,
vol. 4 (1999), no.1, pp 135-144.
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.
Sandru, M., Toda, M.,
Topological Aspects in Elementary Geometry,
TENSOR,
N.S.,
Japan, vol. 57 (1996)
, no.1, pp 80-83.
Toda, M., Udriste, C.,
Influence of the Evolution Riemannian Metrics on the Volume,
Proceedings of 23rd
European Conference on Geometry and Topology - Babes-Bolyai
University, Cluj-Napoca, 1993 - app. (1994), pp 194-202.
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.
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.
TEXTBOOK AUTHORSHIP
- (Co-author of) Karl Smith, Monty Strauss, Magdalena Toda. Calculus, 6th revised edition, Kendall-Hunt, 2013.
- Contributor to Student Solutions Manual and Instructors Solutions Manual for the Calculus textbook by Smith, Strauss and Toda, Kendall Hunt, 2013.
FUNDED RESEARCH
I. External Funding
| 2009-2012. |
Analysis of Non-Linear Flows in Heterogeneous Porous Media and Applications, total amount $221,000, National Science Foundation, Division of Mathematical Sciences, DMS 0908177, CO-PI. (Principal Investigator A. Ibragimov) |
| 2008-2012 |
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 $62,000, 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 |
| 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, 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, 7th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, joint work with E. Aulisa and A. Ibragimov (presenter), May 2008. |
| 2007. |
Geometrical Framework 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, Philadelphia, 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, 3rd 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).
- 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(a series of geometry videos preceded by short introductory talks
- Math Extravaganza - Math Festival for K-12 students and their teachers
SERVICE
I. Departmental Service
- Director of Undergraduate Studies, Dept. Of Mathematics and Statistics,
since Summer 2010.
- Conference Organizer:
- Co-organizer of the TTU Red Raider Mini Symposium, Nov 2013..Co-organizer of TGTC Texas
- Geometry and Topology at Texas Tech University, Spring 2002, 2005, 2008, 2011
- Co-organizer (local) of an AMS sectional meeting at University of Arizona, Tucson, Oct 26-28, 2012
- Co-organizer (local) of an AMS sectional meeting at Texas Tech University, Mar 9-14, 2005.
- Co-organizer of the TTU Red Raider Mini Symposium, Oct 29-Nov 1, 2009.
- KME Advisor and Representative of the Texas Alpha Chapter.
- Member of the Undergraduate Committee, Mathematics and Statistics
- Texas Tech Univ.
- 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 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)
- Co-organizer of the Advanced Analysis and Geometry Seminar (2003-2009)
II. University Service
- Member of the Faculty Senate at Texas Tech University (2006-2010) and Senate Committee C
- Member of Graduate Scholarship Committee (2012)
III. Professional Service
- Referee for 18 professional journals between 2005-2013
- Reviewer of scientific articles for Mathematical Reviews and Zentralblatt Math
- Reviewer of scientific textbooks for:
- Springer-Verlag NY
- W.H.Freeman and Company Publishers
- Mathematical Reviews AMS
- 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