# Andrew Markoe

Office Location

Science Hall 337D

Mailing Address

2083 Lawrence Road
Lawrenceville, NJ 08648

Office Hours

**Academic positions**

- 1991-2013 Professor, Rider University
- 1983-1991 Associate Professor, Rider College
- 1980-1983 Assistant Professor, Rider College
- 2010-August 2011, Chairman, Department of Mathematics, Rider University
- 1991-2000 Chairman, Department of Mathematics, Rider University
- 2002 (Spring) Director’s Visitor, The Institute for Advanced Study, Princeton, New Jersey
- 1986 (Fall) Member Medical Imaging Processing Group, Department of Radiology, University of Pennsylvania (Research Leave)
- 1977-1980 Visiting Assistant Professor, University of Washington
- 1976 -(Summer) Visiting Mathematician, Polish Academy of Science
- 1975-1976 Visiting Associate Professor, University of Connecticut
- 1972-1975 Lecturer, University of Washington
- 1971-1972 Instructor, MIT
- 1970-1971 Member, Institute for Advanced Study
- 1969-1970 Lecturer, University of Wisconsin, Madison
- 1968-1969 Lecturer, The City College, CUNY

**Education**

- Ph.D. in Mathematics, Brown University, 1969
- B.S. in Mathematics, The City College, 1964

**Honors, Scholarships, Distinctions and Professional Affiliations**

- Elected to the Alumni Varsity Association Hall of Fame, City College of New York, 2009
- Recipient, Dominick A. Iorio Faculty Research Award, Rider University, 2008
- Faculty member who's had "the most influence over his/her development and achievements at Rider" , Nominated by two Andrew J. Rider Scholars, 2008
- Member, Institute for Advanced Study, 1970-71
- Member, American Mathematical Society
- Member, Society of Sigma Xi
- Invited Speaker, Math. Inst. Oberwolfach, 1986, 1994
- Visiting Member Polskiej Akademii Nauk (Polish Academy of Sciences), Summer, 1976
- Chairman, Analysis Session, American Mathematical Society Meeting, New York, 1976
- Invited participant in the University of Washington Emphasis Year on Several Complex Variables, 1972
- University Fellow, Brown University, 1964-1965
- Recipient, New York State Regents Science and Engineering Scholarship, 1960-1964
- Recipient, New York State Regents College Scholarship, 1960-1964

**Invited Addresses**

- Invited Address, Special Session on Inverse Problems and Tomography, American Mathematical Society Eastern Sectional Meeting, Binghamton, New York, October 2003, “A New Look at an Old Result of Smith and Keinert on the Inversion of the k-Plane Transform”
- Colloquium lecture, University of Cape Town, “Tomography”, August 2001
- Colloquium lecture, University of Pennsylvania, “Limited Angle Tomography”, January, 2000
- Colloquium lecture, Wichita State University, “Limited Angle Tomography”, September, 1999
- Colloquium lecture, Polytechnic University of Brooklyn, "Uncertainty principles in mathematical tomography", April, 1997
- Invited Speaker, special session on Radon Transforms and Tomography, American Mathematical Society, Eastern Sectional Meeting, Rider University, October, 1996.
- Invited Speaker, conference on Mathematical Methods in Tomography, Mathematisches
- Forschungsinstitut Oberwolfach, Germany, Sept. 25th - Oct. 1 , 1994, Title: "Injectivity of the finite Radon Transform on finite dimensional spaces"
- Invited Speaker, "Dense Subspaces in the Range of the Radon Transform", the Summer Seminar on the Mathematics of Tomography, Impedance Imaging and Integral Geometry, Mt. Holyoke, 1993
- Colloquium Lecturer, "Inversion of the Radon Transform Using Spline-Harmonics", Temple University, 1989
- Colloquium Lecturer, "Inversion of the Radon Transform Using Spline-Harmonics", Tufts University, 1989
- Invited Speaker, "Resolution in Image Reconstruction using Logan's Uncertainty Principle", Joint Summer Research Conference on Integral Geometry, Sponsored by The National Science Foundation, Humboldt State University, June 24 to June 30, 1989
- Lecture "Image Reconstruction Using Prolate Spheroidal Wave Functions", Medical Image Processing Group, Hospital of the University of Pennsylvania, August, 1987
- Invited Speaker, "Logan's Uncertainty Principle", Math. Inst. Oberwolfach, 1986
- Lecture "Heike's paper on Single Photon Emission Tomography by Inverting The Attenuated Radon Transform with Least Squares Collocation", Medical Image Processing Group, Hospital of the University of Pennsylvania, August, 1985
- Invited Speaker, "Several Complex Variables and Mathematical Tomography", 3rd Mathematics
- Colloquium of the Institute for Advanced Mathematics of the National Polytechnic Institute of Mexico, 1983
- Colloquium Lecture, "Inversion of the Attenuated Radon Transform", Tufts University, 1982
- Lecture, "Inversion of the Attenuated Radon Transform", Medical Image Processing Group, Hospital of the University of Pennsylvania, 1982
- Invited Address "X-ray transforms and the growth of differential operators", Tufts Conference on Radon Transforms and Applications, 1981
- Colloquium Lecture, "The n-dimensional uncertainty principle in reconstruction of functions from x-ray projections", Institute for Defense Analyses, 1981
- Invited Address "A holomorphically convex analogue of Cartan's theorem B", Princeton, 1979
- Colloquium Lecture, "Moments, uncertainty and x-ray reconstructions", Ben Gurion University of the Negev, Beersheva, 1978
- Colloquium Lecture, "Runge families and inductive limits of Stein spaces", University of Washington, 1977
- Invited Address "Runge families and inductive limits of Stein spaces", Princeton Analysis Seminar, 1976
- Invited Address "Non-Perfect normal varieties via Oka's hypersurface normality criterion" Princeton Analysis Seminar, 1976
- Invited Address "Runge families and inductive limits of Stein spaces", Brown Analysis Seminar, 1976
- Colloquium Lecture, "Several Complex Variables", University of Connecticut, 1975
- Colloquium Lecture, "Analysis Complejo Basico", Universidad de Oriente - Cumana, Venezuela, 1973
- Invited Address "Maximal ideals of Stein algebras", Conference on Complex Analysis, SUNY, Buffalo, 1973
- Colloquium Lecture, "Analytic spaces with Hausdorff separated cohomology", Fordham University, 1973
- Colloquium Lecture, "Analytic families of differential complexes", SUNY, Albany, 1971
- Colloquium Lecture, "Complex analysis", Institute for Advanced Study, 1971
- Invited Address "Families of strongly pseudoconvex manifolds", Princeton Analysis Seminar, 1971
- Invited Address "Families of strongly pseudoconvex manifolds", Symposium on Several Complex Variables, Park City, 1970

**Other Scholarly Activities**

- Co-organizer of special session on Tomography and Integral Geometry, American Mathematical Society Sectional Meeting, Rider University, April, 2004
- Attended the Joint AMS/IMS/SIAM Conference on Integral Geometry and Tomography, Mt. Holyoke, 2000
- Co-organizer of special session on Radon transforms and Mathematical Tomography, American Mathematical Society Sectional Meeting, Rider University, 1996
- Referee for Society of Industrial and Applied Mathematics Journal of Mathematical Analysis, the Journal on Inverse Problems and the IEEE Transactions in Medical Imaging
- Co-organizer and lecturer - University of Washington Joint Mathematics and Medical Physics Seminar, 1978
- Participant, Conference on Harmonic Analysis, Jablonna, Poland, 1976
- Participant, American Mathematical Society Summer Institute on Complex Analysis, Williams, 1975

**Bibliography of Andrew Markoe**

- A. Markoe , New techniques in deformation of complex structure, Ph.D. thesis, Brown University, 1969
- A. Markoe , Cohomology of analytic families of differential complexes, in Symposium on Several Complex Variables, Park City, 1970, Lecture Notes in Mathematics 184, Springer Verlag, [Math. Rev. 46 3834]
- A. Markoe and H. Rossi, Families of strongly pseudoconvex manifolds, in Symposium on Several Complex Variables, Park City, 1970, Lecture Notes in Mathematics 184, Springer Verlag, [Math. Rev. 46 3835]
- A. Markoe , Analytic Families of differential complexes, J. Functional Analysis, 9 (1972) 181-188 [Math. Rev 45 7108]
- A. Markoe , Analytic spaces with Hausdorff separated coherent cohomology, Seminar Notes, University of Washington, 1972.
- A. Markoe , The Forster-Knorr proof of Grauert's direct image theorem, Seminar Notes, University of Washington, 1972.
- A. Markoe , A characterization of normal analytic spaces by the homological codimension of the structure sheaf, Pac. J. of Math. 52 (1974) 485-489 [Math. Rev 51 3504].
- A. Markoe , Maximal ideals of Stein Algebras, in Proceedings of a conference on complex analysis, SUNY, Buffalo, 1975, W. Zame, ed.
- A. Markoe , Invariance of holomorphic convexity under proper mappings, Math. Ann. 217 (1975) 276-280 [Math. Rev 58 6034]
- A. Markoe , Holomorphic convexity and the corona property, Revue Roumaine de Math. Pures et Appl. 23 (1978) 67-70, [Math. Rev 58 17202]
- A. Markoe , Runge families and increasing unions of Stein spaces, Bull Amer Math Soc 82 (1976) [Math Rev 54 3026]
- A. Markoe , Lecture Notes on Several Complex Variables, University of Connecticut, Storrs, 1976.
- A. Markoe , Runge families and inductive limits of Stein spaces, Ann. Inst. Fourier, Grenoble 27 (1977) 117-127 [Math. Rev 58 28665]
- A. Markoe , A holomorphically convex analogue of Cartan's theorem B, in Recent developments in several complex variables, J. Fornaess, ed., Princeton Univ. Press, Princeton, 1981.
- A. Markoe , Non-perfect normal varieties via a generalization of Oka's hypersurface normality criterion, lecture notes University of Washington, 1976.
- A. Markoe , The n-dimensional uncertainty principle in the reconstruction of functions from finitely many moments or projections, lecture notes, 1978.
- A. Markoe , Fourier inversion of the attenuated x-ray transform, SIAM J Math Anal 15 (1984) 718-722. (Math Reviews:747431 (86a:44006))
- A. Markoe, and E.T. Quinto, An elementary proof of local invertibility for generalized and attenuated x-ray transforms, SIAM J. Math. Anal., 16 (1985) 1114-1119. (Math Reviews :800800 (87f:44009))
- A. Markoe, Computerized tomography and complex analysis, Proceedings of the 3rd Mathematical Colloquium of the Inst. Del Math. Advanzados del IPN, Mexico., "Topics in Several Complex Variables", E. Ramirez de Arellano & D. Sundararaman, editors, Pitman, Boston, 1985. (Math Reviews:805596)
- G.T. Herman, A. Markoe, and W.K. Cheung, An approach to Image Reconstruction using Cubic Spline functions: its significance and applications, pp 13-15, Proc. of the Thirteenth Northeast Bioengineering Conference, March, 1987
- A. Markoe, and W.K. Cheung Image Reconstruction using Spline-Harmonics in the Range of the Radon Transform to Approximate the Projection Data: Mathematical Basis, Medical Image Processing Group, Dept. of Radiology, University of Pennsylvania, Technical Report #MIPG158, 1989
- A. Markoe, Finite X-Ray and Radon Transforms, Ghosts and the Quality of Image Reconstructions, reprint of talk delivered at Joint Summer Research Conference on Integral Geometry, 1990
- A. Markoe and W.K. Cheung, Image Reconstruction and Dense Subspaces in the Range of the Radon Transform, in "Proceedings of the Summer Seminar on the Mathematics of Tomography, Impedance Imaging and Integral Geometry, Mt. Holyoke, 1993, Lectures in Applied Mathematics", Cheney, Kuchment and Quinto, eds., American Mathematical Society, Providence, 1994 (Math. Reviews 1297562 (95i:44004))
- A. Markoe, Analytic tomography, Encyclopedia of Mathematics and its Applications, vol. 106, Cambridge University Press, Cambridge, 2006.
- A. Markoe and E. T. Quinto (eds.), Integral Geometry and Tomography, Contemporary Mathematics, Providence, R.I., American Mathematical Society, 2006.
- A. Markoe, The k-plane transform and Riesz potentials, in Integral Geometry and Tomography, Contemp. Math., American Mathematical Society, 2006.
- Sun, H., Koch, M. and Markoe, A, Tidally Induced Changes of Fluid Pressure, Geothermal Temperature and Rock Seismicity. Abstract accepted for the 7th International Conference on Hydroscience and Engineering, Fall 2006
- Sun, Hongbing and Feistel, Rainer and Koch, Manfred and Markoe, Andrew, New equations for density, entropy, heat capacity, and potential temperature of a saline thermal fluid. Deep-Sea Research I (2008), In Press, to Appear Fall 2008
- M. Deléglise, A. Markoe, Maximum arc length of monotonic functions: the general case, available at http://math.univ-lyon1.fr/~deleglis/PDF/Deleglise_Markoe.pdf. 2013
- M. Deléglise, A. Markoe, Maximum arc length of monotonic functions, accepeted for publication in The American Mathematical Monthly, to appear 2014