Magdalena Toda


Director of Undergraduate Studies

Department of Mathematics and Statistics

Texas Tech University

Lubbock TX 79409-1042





2000: PhD Mathematics – University of Kansas

2000: PhD Mathematics – Polytechnic University Bucharest

1997: MA Mathematics – University of Kansas

1991: MS Mathematics – University of Bucharest




2014-         Professor, tenured, Mathematics and Statistics, TTU

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




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



Graduate Students

·         Paragoda, Thanuja, PhD, expected to defend 2016

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

·         Bhagya Athukorala, PhD, graduated Aug 2014, 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 (fully refereed)


1.     Toda, M., Athukorallage, B. (2014), Willmore Surfaces – Geometric Models for Secondary Structures in Proteins, XVIth Geometry, Integrability and Quantization Conference Bulgarian Academy of Science, Sofia, Bulgaria, Journal of Geometry and Symmetry in Physics– accepted.


2.      Toda, M., Athukorallage, B., Paragoda Gamage, T. (2014) Roulettes of conics, Delaunay surfaces and applications, Surveys in Mathematics, 4(1), 1-23.


3.      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), (2013) 1982-1993



4.      Toda, M., Forchheimer-type equations in conjunction with constant mean curvature graphs, AIP Conf. Proc. 1558, 887 (2013), pp 5; ;


5.      Toda, M., Athukoralage, B., Geometry of biological membranes and Willmore energy, American Institute of Physics, AIP Conf. Proc. 1558, 883 (2013), pp 5;



6.      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), pp 4;



7.      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.


8.      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.



9.      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;


10.  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.


11.  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.


12.  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.


13.  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, pp 10, (2007).


14.  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.


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


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




17.  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.


18.  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.


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


20.  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.


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



22.  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.


23.  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.


24.  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, 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. ISBN-10: 146522923X

3.      Smith, K., Strauss, M., Toda, M. (2013). In Kendall Hunt (Ed.), Calculus Special Edition (6th ed., Special Edition Ch 5-8, 11, 12, 14 – used at Rutgers University). Kendall Hunt Publishing Company. ISBN-10: 146524079B

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

5.      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.





I.                   External FUNDING



Nonlinear couplings for Flows in Fractured Media, total amount $290,000, National Science Foundation, Division of Mathematical Sciences,  CO-PI. (Principal Investigator A. Ibragimov)





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)





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




Integrable systems, harmonic maps and Weierstrass representation, Central European Science Foundation; total award $58,000, P.I.



             The Emmy Noether Mathematics Days, MAA, Tensor Projects, $4,500, P.I.




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.



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



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.





I.                   Invited External Talks


2015 Toda, M – Invited speaker at the “Waves 2015” Conference on Integrable Systems and Waves, University of Georgia, Athens, Georgia, March 31 – April 4.


2014 Toda, M – Plenary Speaker at the XVIth International Conference on Geometry, Integrability and Quantisation, Institute of Biophysics, Bulgarian Academy of Science, June 5-12, 2014;


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, 7th 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, 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


·         Applied Mathematics Seminar


·         Colloquium Talk – CMC Surfaces, Willmore surfaces and Integrable Systems and applications to protein biology, Texas Tech University, Sep 2013 – tenure and promotion candidate

  • Colloquium Talk Integrable Systems in Geometry, Texas Tech University, Sep 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, year 2001/2002 – 5 sessions


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





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


Conference Organizer: TGTC Texas Geometry and Topology Conference

                                           (4 editions, 2002, 2005, 2008, 2011, 2014, 2017)


                                           Red Raider Mini-symposium (2009, 2013)


                                           AMS Special Sessions (2012, 2014)


                                           SIAM Meeting Special Session (2013)


                                           11th International Conference Numerical Analysis and

                                           Applied  Mathematics (2013)



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.


·         Editor for a monograph with CRC – Taylor and Francis


Additional work with editors, between  2010-2013:

for Wiley and sons, Cengage, Pearson, Jones and Bartlett – reviewing textbooks and professional books





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