Bogdan Suceavã

Contact information: bsuceava-at-fullerton.edu

EDUCATION

  • Ph.D. in Mathematics, Michigan State University :
    Ph.D.Thesis Advisor: Prof. Bang-Yen Chen
    Thesis: New Riemannian and Kaehlerian curvature invariants and strongly minimal submanifolds. Defended on April 25, 2002.
  • Master in Geometry, University of Bucharest :
    Title of Master Thesis: Slant Immersions. Applications to the Study of Riemannian Submersions,
    06/1995.
  • Licentiate in Mathematics, University of Bucharest :
    Title of Undergraduate Project: Connections and Semi-Connections on Lie Groups,
    06/1994.

    • Publications :

    Publications in differential geometry :

  • [1] Revisiting the foundations of Barbilian's metrization procedure (with W. G. Boskoff and M. G. Ciuca), Differential Geom. Appl. 29 (2011), no. 4, 577–589.
  • [2]Classification theorems for space-like surfaces in 4-dimensional indefinite space forms with index 2 (with Bang-Yen Chen), Taiwanese J. Math., 15 (2011), no. 2, 523–541.
  • [3] Distances generated by Barbilian's metrization procedure by oscillation of sublogarithmic functions, Houston J. Math., Vol. 37, No. 1, 2011, pp. 147-159.
  • [4] The Equation of Euler's Line Yields a Tzitzeica Surface (with A. F. Agnew, A. Bobe, W. G. Boskoff, and L. Homentcovschi), Elemente der Mathematik, Elem. Math. 64 (2009), no. 2, 71--80.
  • [5] Remarks on Chen's fundamental inequality with classical curvature invariants in Riemannian Spaces, (with M. B. Vajiac), Annals Sti. Univ. Al. I. Cuza, Math. 54 (2008), no. 1, pp. 27--37.
  • [6] Barbilian Metrization Procedure on R^2 yields either Riemannian or Lagrange generalized metrics (with W. G. Boskoff), Czechoslovak Mathematical Journal, Vol. 58, No. 4, pp. 1059-1068, 2008
  • [7] Distances obtained by Barbilian’s metrization procedure (with W. G. Boskoff and M. G. Ciuca), Houston J. Math. vol.33, no.3 (2007), pp. 709-717.
  • [8] A Metric Induced by the Geometric Interpretation of Rolle's Theorem (with W. G. Boskoff), Scientific Annals of Ovidius University, Mathematical Series, Vol. 15(2), 2007, pp. 19-28.
  • [9] 3D Affine Differential Geometry and symbolic computation: the curves and surfaces of G. Tzitzeica (with A. F. Agnew, A. Bobe, W. G. Boskoff), to appear in The The Mathematica Journal.
  • [10] Fundamental inequalities and strongly minimal submanifolds, Contemporary Mathematics (337), Recent Advances in Riemannian and Lorentzian Geometries Edited by: Krishan L. Duggal and Ramesh Sharma, Amer.Math. Soc, 2004.
  • [11] Total length of shape operator's spectrum as conformal invariant, J. of Ineq. in Pure and Appl. Math., Vol.4, Issue 4, 2003, Art. 74.
  • [12] New Riemannian and Kaehlerian curvature invariants and strongly minimal complex surfaces (Ph.D. thesis, Michigan State University, April 2002.)
  • [13] A Myers type theorem for almost Hermitian manifolds, Algebra, Geometry and Their Applications, 2 (2002), pp.13-17.
  • [14] The Chen invariants of warped products of hyperbolic planes and their applications to immersibility problems Tsukuba J. Math., Vol.24 (2001), No.2, pp.311-320.
  • [15] Remarks on B.Y.Chen's inequality involving classical invariants , Anal. Sti.Univ. Al.I.Cuza Iasi tom XLV, s.I.a, Matematica, 1999, f.2., pp.405-412.
  • [16] A Natural model for gluing two tori and special surface of genus two Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 59 (1997), no. 1-4, 49--52.
  • [17] Some theorems on austere submanifolds, First Conference of Balkan Society of Geometers (Bucharest, 1996). Balkan J. Geom. Appl. 2 (1997), no. 1, 109-115.
  • [18] Les r-courbures moyennes des hypersurfaces, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 36(84) (1992), no. 2, 175-177.

    • Publications on the Geometry of Plane Curves:

  • [1] The power of a point for some real algebraic curves (with A. I. Vajiac and M. B. Vajiac), The Mathematical Gazette (London), (to appear), vol. 92 (2008) , issue 523, March 2008.
  • [2] An elementary remark on the curvature of planar curves, Gazeta matematica seria A, 23 (93) (2006), issue 3, 223-226.

    • Publications on Projective Geometry and Advanced Euclidean Geometry:

  • [1] A generalized Pythagorean theorem (joint work with W. G. Boskoff and L. Homentcovschi), The Mathematical Gazette (London) vol. 93, No.526, March 2009, pp.119--125.
  • [2] A Projective Characterization of Cyclicity, (with W. G. Boskoff) Beiträge zur Algebra und Geometrie vol 49 (2008) No. 1, pp. 195-203.
  • [3] On Problem 10710 from American Mathematical Monthly Gazeta matematica, seria B, vol. CXII, (2007), no.11, 563-565.
  • [4] Angle Bisectors in a Triangle: A problem solving approach, (written with CSUF undergraduate students Nathaniel Hall and Kim Uyen Truong) Gazeta matematica seria A; vol. CIV (2007),pp. 111-120.
  • [5] The nine-point circle and a projective characterization of cyclicity, (with W. G. Boskoff and A. I. Vajiac), to appear in Gazeta matematica, seria B, Nov. 2007;
  • [6] Feuerbach point and Euler lines (with Paul Yiu), Forum Geometricorum, 6 (2006), 191-197.
  • [7] An example of a projectivity characterized by a Pythagorean relation (with W. G. Boskoff), Forum Geometricorum, 6 (2006), 187-190.
  • [8] Remarks on a geometric locus in the Euclidean plane (with CSUF undergraduate student J. Geibel), Pi Mu Epsilon, 12 (2006) No.4, 207-208.
  • [9] Applications of homogeneous polynomials in Euclidean geometry, (written with W. G. Boskoff), Forum Geometricorum 5 (2005), 143-148.
  • [10] When is Euler’s Line Parallel to a Side of a Triangle? (joint work with W. G. Boskoff), College Math. J., 35 (2004), 292-296.
  • [11] About a Competition Problem, Gazeta Matematicã, 8(1991), 317;
  • [12] The equivalence of certain properties in the geometry of triangle, (in Romanian) Gazeta Matematicã, 3(1990), 93-98;
  • [13] Use of homogeneous functions in the proof of some geometric inequalities or identities, (in Romanian), Gazeta Matematicã, 8-9(1990), 236-240.

    Publications in Algebra

  • [1] A Class of Applications of AM-GM Inequality (From a 2004 Putnam Competition Problem to Lalescu’s Sequence), (joint work with W. G. Boskoff), Australian Math. Society Gazette, 33 (2006), No.1, 51-56.
  • [2] On some applications of AM-GM inequality, (in Romanian; joint work with W. G. Boskoff) Gazeta Matematica, vol. 110 (2005), 145-151.
  • [3] Observations on Permutations Groups (in Romanian) Gazeta Matematicã , Bucharest, No.11/12(1987), 406-409.

    • Publications in the History of Mathematics

  • [1] Gheorghe Tzitzeica and the origins of affine differential geometry (with A. Agnew, A. Bobe, and W. G. Boskoff) Historia Mathematica, 36 (2009), no. 2, May 2009, 161--170.
  • [2] From Felix Klein`s Erlangen Program to Secondary Game: Dan Barbilian`s Poetry and its Connection with Foundations of Geometry (with W. G. Boksoff and Vyvy Dao), to appear in Memoirs of the Scientific Sections of the Romanian Academy; (Communicated by Acad. Viorel Barbu.)
  • [3] Barbilian Spaces: the History of a Geometric Idea (with W. G. Boskoff), Historia Mathematica 34 (2007), no. 2, 221-224.
  • [4] A description of ideas that lead to the Kaluza-Klein Theory (in Romanian, with A. I. Vajiac), Curierul de Fizica;Nr. 58, April 2007, Art 7.
  • [5] The History of Barbilian’s Metrization Procedure and Barbilian Spaces, (with W. G. Boskoff) Memoirs of the Scientific Sections of the Romanian Academy, vol. 28 (2005), 7-16. (Communicated by Acad. Viorel Barbu.)

    • Presentations :

  • Curvature Inequalities, Colloquium, Department of Mathematics, California State University, Northridge, March 05, 2008.
  • Curvature Invariants in Submanifold Theory. New Developments, Colloquium, California State University, Long Beach, May 11, 2007.
  • Curvature Invariants in Submanifold Theory. New Developments, Colloquium, Chapman University, Orange, March 29, 2007.
  • Curvature Invariants in Submanifold Theory. New Developments, Geometry Seminar, California State University Fullerton, March 9, 2007.
  • Riemannian and Lagrange Generalised metrics obtained from Barbilian distances, The 9th International Conference of Tensor Society on Differential Geometry, Informatics and their Applications, September 4-8, 2006, Sapporo, Japan (talk delivered by W. G. Boskoff, based on our joint work).
  • New developments on Barbilian’s metrization procedure, Differential geometry seminar, Michigan State University, January 19, 2006.
  • Using history in teaching Foundations of Geometry classes, MAA Session on Using History of Mathematics in your Mathematics Courses, MAA/AMS Joint Conference, San Antonio, January 13, 2006.
  • Geometry Problems in U.S.A. Mathematical Competitions, California Math. Council Conference, Palm Springs, November 5, 2005.
  • New Curvature Invariants and Nash’s Embedding Theorem, California State University San Bernardino, Colloquium, November 2, 2005.
  • From Euler’s Line to Gossard Perspector, Whittier College, Colloquium, October 28, 2005.
  • From Euclidean Geometry to the Geometry of Geodesics, Cal State Fullerton, Colloquium, October 13, 2005.
  • Barbilian’s viewpoint on Tzitzeica-Johnson configuration, The Fifth Conference of the Balkan Society of Geometers, Constantza, Romania, August 29, 2005 (joint work with W. G. Boskoff and L. Homentcovschi, talk delivered by W. G. Boskoff).
  • Barbilian Spaces: The History, AMS Special Session on History of Mathematics, Western Section Conference, Santa Barbara, April 18, 2005.
  • Chen's fundamental inequalities in submanifolds geometry, CalPoly Pomona, Colloquium talk, April 8, 2004.
  • Fundamental Inequalities and Strongly Minimal Submanifolds, Chapman University, April 24, 2003.
  • Chen's Fundamental Inequality with Classical Invariants, California State University, Fullerton, URS, February 28, 2003.
  • Fundamental Inequalities and Strongly Minimal Submanifolds, MAA/AMS Joint Conference, January 16, 2003, Baltimore, in the session Recent Advances in Riemannian and Lorentzian Geometry.
  • New Riemannian and Kählerian curvature invariants and strongly minimal submanifolds, Ph.D.Thesis Defense, Michigan State University, April 24, 2002.
  • Strongly minimal submanifolds, Differential Geometry seminar, Michigan State University, April 5, 2002.
  • New Kählerian curvature invariants and strongly minimal submanifolds, Differential Geometry seminar, Michigan State University, March 22, 2002.
  • Curvature, torsion and rectifyible curves, University of Arizona, Tucson, March 4, 2002.
  • Riemannian curvature invariants and their application to the minimal isometric immersion problem, California State University, Fullerton, February 27, 2002.
  • Riemannian obstructions to minimal isometric immersions, MAA/AMS Joint Conference, January 9, 2002, San Diego.
  • Riemannian obstructions to minimal isometric immersions, Canadian Mathematical Society Winter Meeting , December 9, 2001, Toronto.
  • Total mean curvature of compact manifolds , Michigan State University, February 11 and 18, 1999.
  • Submersions riemanniennes avec des fibres austeres, Conference of Romanian Institute of Academy, Iasi, Romania, September, 1995. (Based on the Master thesis.)
  • Sous-variétés obliques et applications, École de Printemps de l'École Normale Supérieure de Paris, Sinaia, Romania, May 3, 1995. (Based on the paper: Chen, Bang-Yen; Tazawa, Yoshihiko: Slant submanifolds in complex Euclidean spaces, Tokyo J. Math. 14 (1991), no. 1, 101--120.)

    • TEACHING

    California State University, Fullerton (08/2002 - present):

  • Discrete Mathematics I (Fall 2002, Spring 2003, Fall 2005)
  • Discrete Mathematics II (Spring 2004)
  • Analytic Geometry and Calculus I (Spring 2006)
  • Analytic Geometry and Calculus II (Fall 2002, Summer 2003, Fall 2004)
  • Analytic Geometry and Calculus III (Fall 2006, Spring 2007, Fall 2007)
  • Business Calculus (Fall 2003)
  • Strategies of Proof (Summer 2003)
  • Foundations of Geometry (Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007)
  • Differential Geometry (Fall 2003, Fall 2004, Fall 2007)
  • Advanced Calculus (Spring 2005, Summer 2005, Fall 2006)
  • Abstract Algebra (Fall 2005)

    • Michigan State University (08/1996-05/2002) :

  • -taught:
    Intermediate Algebra (Fall 1998, Fall 1999, Fall 2001, LTA during Fall 2001),
    College Algebra (Fall 1997 and Spring 1998),
    Applied Calculus (Spring 1999),
    Calculus II (Lecturer, Fall 2000; Lecturer, Spring 2001),
    Multivariable Calculus (recitation in Spring 1997, lecture in Summer 1998 and Summer 1999);
  • -head grader, LTA assignment, for College Algebra course, Spring 1998;
  • -head grader, LTA assignment, for Intermediate Algebra course, Fall 2001;
  • Curvature and Topology: Bonnet-Myers Type Theorems - a few presentations in MSU Geometry/Topology Student Seminar, Fall 2000;
  • -head tutor, LTA assignment for Math Learning Center during Fall 1998, Spring 1999, Fall 1999, Fall 2000;
  • -grading assignment for the graduate Algebra course, during the Fall 1996.

    • University of Bucharest (10/1994-06/1996) :

  • taught for Geometry Chair recitations of Geometry of Curves and Hypersurfaces and Geometry of Differential Manifolds;
  • taught for Algebra Chair recitations of Methods in Mathematical Education (involving College Algebra, Linear Algebra, Abstract Algebra, Plane and Space Geometry, Point-Set Topology).

    • Special Activities in Mathematical Education :

  • coordinator of the solving problems seminar, California State University, Fullerton, starting with Fall term 2002;
  • 12 problems selected for national level contests in mathematics: National Olympiads and Contests of Gazeta Matematicã (08/1989-09/1992);
  • 5 times member of national committees for Romanian Mathematical Olympiads or national Contests of the monthly Gazeta Matematicã (04/1990-09/1992);
  • 3 times guest lecturer (Plane Geometry topics) for Summer Classes, Societatea de Stiinte Matematice, Romania, 1989, 1990, 1991;
  • more than 30 original problems published in Gazeta Matematicã, American Mathematical Monthly, Revista Matematicã, Preuniversitaria, Computer Matematica or assigned to national level high school contests between 10/1987 and 01/1999;
  • several papers in elementary plane geometry published either in Gazeta Matematicã or in Preuniversitaria.

    • SELECTED AWARDS AND DISTINCTIONS

  • California State University Fullerton, Recognition for Outstanding Scholarly and Creative Activity, April 11, 2007.
  • California State University Fullerton, Recognition for Outstanding Service, April 12, 2006.
  • California State University, State Grant, Spring 2005.
  • Michigan State University: College of Natural Sciences fellowship, Spring 2002.
  • Michigan State University: research fellowship, Summer 2000, Summer 2001.

    • ACTIVITIES

  • California State University, Fullerton: coordinator of the W.L.Putnam Competition team; member of Mathematical Competitions committee, since 2002;
  • California State University, Fullerton: member of the Colloquium committee, since 2002;
  • California State University, Fullerton: coordinator of the Problem Solving seminar, since 2002;
  • Member of Dean's Student Advisory Council, College of Natural Sciences, MSU; Undergraduate Research Forum Representative, 1999-2000.
  • Facilitator, International Teaching Assistants Orientation, Summer 1999;
  • Editor of the issue No. 3/1990 of Gazeta Matematicã ;
  • Secretary of Undergraduate Section, Romanian Mathematical Sciences Society, 1989-1990.

    AFFILIATIONS AND MEMBERSHIPS

    Professional Organizations

  • American Mathematical Society, member since August 1996;
  • Societatea de Stiinte Matematice din România, member since October 1989.

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    Last time updated: November 2, 2009.