Prof. Dr. Markus Brodmann

Institut für Mathematik
Universität Zürich
Winterthurerstrasse 190
CH-8057 Zürich

E-Mail:
Büro: Y27J26
Arbeitsfelder:
Kommutative Algebra

Vita

Personal Data

  • Date of birth: 19 June 1945
  • Citizenship: Basel, Switzerland
  • Marital status: married, four children (born 1970, 1974, 1976, 1981), four grand-children (born 2010, 2013, 2013, 2015)


Education

  • Primary School in Ettingen, 1951-1956
  • Secondary School in Therwil, 1957-1960
  • Apprentice in Mechanical Design at F. Sauter AG in Basel, 1961-1962
  • Mathematisch-Naturwissenschaftliches Gymnasium in Basel, Matura Typus C, 1963-1966
  • Studies in Mathematics with Minors Physics and Astronomie at the University of Basel, Diploma in Mathematics, 1966-1971
  • Personal Assistant of Professor A.M.Ostrowski, 1968-1971
  • PhD Thesis in Commutative Algebra, under Direction of Professor W. Habicht, University of Basel, Dr. Phil. II, summa cum laude, 1971-1974
     

Positions

  • Post Doctoral Assistant at the Ecole Polytechnique Fédérale de Lausanne, Research Group of Profesor M. André, 1974-1976
  • Post Doctoral Fellow (SNF) at the Westfälische Wilhelms-Universität in Münster/Germany, Research Group of Professor H.J. Nastold, 1977-1978
  • Post Doctoral Fellow (SNF) at Brandeis University, Waltham Mass./USA, Research Group of Professor D. Eisenbud, 1978-1979
  • Post Doctoral Fellow at the Westfälische Wilhelms-Universität in Münster, Research Group of Professor H.J. Nastold, Habilitation, 1979-1980
  • Lecturer at the University of Basel, 1980-1983
  • Junior Research Associate at the Forschungsinstitut ETH, 1981
  • Oberassistent at the University of Zürich, 1982-1992
  • Associate Professor at the University of Zürich, 1992-2005
  • Full Professor at the University of Zürich 2005-2010

Forschung

Projective Varieties of Maximal Sectional Regularity

Research and Publishing Activities since 2000


Primary: Commutative Algebra and its Interaction with Algebraic Geometry

Local Cohomology

  • Structure of Local Cohomology Modules
  • Vanishing- and Finiteness Results
  • Associated Primes of Local Cohomology Modules
  • Behaviour of Graded Components


Cohomology of Projective Schemes

  • Cohomological Hilbert Functions
  • Cohomological Patterns
  • Castelnuovo-Regularity and Related Invariants


Projective Varieties of low Degree

  • Geometric Characterizations
  • Cohomology and Hartshorne-Rao Functions
  • Approximation of Betti-Numbers
  • Cohomology of Ample Line Bundles


Projective Varieties of Maximal Sectional Regularity

  • Geometry and Projecting Scrolls
  • Extremal Secant Lines and Extremal Secant Varieties
  • Cohomological Properties and Betti Numbers
  • The Case of Codimension 2
  • Classification


Secondary: Visualization and Popular Exposition of Mathematics

Visualization of Surfaces

  • Models of closed Surfaces
  • Paremetrization and Physical Realization

Blowups of the Real Affine Plane

  • Embedded Blowups with respect to a Pair of Polynomials
  • Embedded Isomorphisms and Isotopic Families
  • Animated Visualization

Lectures & Seminars


Lectures
Analysis für die Naturwissenschaften
Mi
10.15-12.00
Mi
10.15-12.00
Fr
10.15-12.00
Fr
10.15-12.00

Übungen Analysis für die Naturwissenschaften
Fr
13.00-13.45
Fr
13.00-13.45

Übungen Analysis für die Naturwissenschaften
Mi
13.00-13.45

Übungen Analysis für die Naturwissenschaften
Mi
12.15-13.00
Mi
12.15-13.00
Mi
12.15-13.00
Mi
12.15-13.00
Mi
12.15-13.00
Mi
12.15-13.00
Mi
12.15-13.00
Mi
12.15-13.00
Mi
12.15-13.00

Übungen Analysis für die Naturwissenschaften
Do
12.15-13.00
Do
12.15-13.00

Übungen Analysis für die Naturwissenschaften
Fr
12.15-13.00
Fr
12.15-13.00
Fr
12.15-13.00
Fr
12.15-13.00
Fr
12.15-13.00
Fr
12.15-13.00
Fr
12.15-13.00

Publikationen

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CONTENT

1. Lecture Notes and Presentations
2. Textbooks
3. Publications and Preprints since 1999
4. Testimonies: Glaubenszeugnisse und Vorträge




1. Lecture Notes and Presentations

Markus Brodmann. Das Rätsel der Unendlichkeit: Mathematik und die Frage nach Gott. Präsentation zu einem Vortrag, gehalten in der Pfarrei St. Josef Zürich im Rahmen der Vortragsserie 'Glaube und Wissenschaft" am 3. September 2023. [pdf]

Markus Brodmann. Das ASCO Science Center in Ofekata-Owerri (Nigeria) . Präsentation zu einem Referat, gehalten am 29. März 2023 am Schülerlabor des Paul Scherrer Instituts Villigen [pdf]

Markus Brodmann. Teilchen oder Welle. Praesentation zu einem Vortrag, gehalten in der Pfarrei St. Josef Zuerich am 5. Juni 2022 [pdf]

Markus Brodmann. Primes in the Classroom and Beyond: A First Look at Prime Numbers . Presentation for a talk, given on 4. May 2022 via ZOOM in the framework of a Course for Secondary Science Teachers in Nigeria by ASCO, 2. - 5. May, 2022 [pdf]

Markus Brodmann. Bounding Cohomology of Projective Varieties. Presentation used for a Colloquium talk given at the University of Nigeria in Nsukka/Nigeria at 13. January 2022 [pdf]

Markus Brodmann. Rund um den Kreis. Präsentation zu einem Vortrag, gehalten am 20. Dezember 2017 im Rahmen der Lehrerfortbidung zum Thema "Geometrische Geisteblitze" an der Universität Passau / Deutschland [pdf]

Markus Brodmann. Rund um den Kreis. Skript zum obigen Kurs [pdf]

Markus Brodmann. My Work with Peter Schenzel - Reminiscence of a Friendship and a Cooperation 1979 - 2017. Presentation, used for a talk given at 26. October 2017 in the framework of the "Workshop on Commutative Algebra, University of Osnabrueck / Germany, October 26 - 29, 2017 (in Honor of the the 70th Birthday of P. Schenzel) [pdf]

Markus Brodmann. The Grasp for Infinity. Presentation for a talk held at St. Joseph's College Irinjalakuda, Kerala/India at 22. June 2016 (without the last slide) and for a talk held at the Priest Seminary "Seat of Wisdom" of the Archediocoesis Owerri Nigeria at 11. January 2022 [pdf]

Markus Brodmann. Truth and Provability . Presentation for a talk held at St. Joseph's College Irinjalakuda Kerala/India 24. June 2016 [pdf]

Markus Brodmann (2021). Mathematik als Reisevehikel. Präsentation zu einem Vortrag gehalten an der Kantonsschule Hottingen Zürich am 23. April 2016 und in aktualisierter Form am 21. April 2021 [pdf]

Markus Brodmann. Lectures on Weyl Algebras and D-Modules. Notes prepared for a course, taught from 25.-28.June 2016 in the Framework of the "Workshop on Local Cohomology" at St. Joseph's College Irinjalakuda (Kerala/India) [pdf]

Markus Brodmann. Around the Circle. Notes based on a Course for Mathematics Teachers at High Schools in Kabale Region, held at St. Mary's College Rushoroza, Kabale, Uganda, 28. April - 2. May 2014 [pdf]

Markus Brodmann. Brüche und Kurven - Ein Blick auf die Diophantische Geometrie . Skript und Vertiefungstext zu einem Weiterbildungskurs für Lehrerinnen und Lehrer an Maturitätsschulen; Institut für Erziehungswissenschaften & Institut für Mathematik, Universität Zürich, 9. April 2014 [pdf]

Markus Brodmann. Why to Become a Mathematician? . Presentation used used at talks given at: the University of Thai Nguyen, Thai Nguyen/Vietnam, 9. November 2013; the University of Hué, Hué/Vietnam, 6.December 2013; the Institute of Mathematics at the Vietnam Academy of Science and Technology (VAST), Hanoi/Vietnam, 18.December 2013; St. Mary's College Rushoroza, Kabale/Uganda, 1. May 2014; St. Joseph's College Irinjalakuda, Kerala/India, 28.June 2016; Sahrdaya College of Advanced Studies of Arts and Science, Kodakara, Thrissur. Kerala/India, 30.June 2016; Ho Chi Minh City University of Pedagogy, Ho Chi Minh City/Vietnem, 7.September 2017; Pedagogical University of Thai Nguyen, Thai Nguyen/Vietnam, 17. September 2017; the University of Nigeria at Nsukka/Nigeria, 13. January 2022. [pdf]

Markus Brodmann (2013). Notes on Weyl Algebras and D-Modules (preliminary version). Notes for the two courses: "Introduction to Weyl Algebras and D-Modules" University of Thai Nguyen, Thay Nguyen/Vietnam 1.-10. November 2013; "Weyl Algebras, Universal Gröbner Bases, Filtration Deformations and Characteristic Varieties" Vietnam Institute for Advanced Study in Mathematics (VIASM),Hanoi/Vietnam 12.-26.November 2013 [pdf]

Markus Brodmann (2013). Castelnuovo-Mumford Regularity - a Survey. Presentation performed at Makere University, Kampala, Uganda, at 23.January in the Framework of a North-South Cooperation between the University of Zürich and Uganda. [pdf]

Markus Brodmann. Strips, Tubes, Bottles, Caps, Umbrellas - a Few Examples of Visualzations of Surfaces. Presentation performed at the Summer School "Surface Topology-in the Class Room and Beyond" Kabale University, Uganda, January 2013, organized in the framework of a North-South Cooperation between the University of Zürich and Kabale University, presented at St. Mary's College Rushoroza, Kabale/Uganda, 28. April 2014. [pdf]

Markus Brodmann (2013). Blowing-Up and its Visualization - with a Glance to Algebraic Surfaces. Presentation to be performed at the the Summer-School "Surface-Topology-in the Class Room and Beyond", Kabale University, Uganda, January 2013, organized in the framework of a North-South Cooperation between the University of Zürich and Kabale University, presented at St. Mary's College Rushoroza, Kabale/Uganda, 29. April 2014 and (in extended form) for a Colloquim Talk held at the University of Nigeria at Nsukka/Nigeria, 12. January 2022 [pdf]

Markus Brodmann (2010). Bounding Cohomology of Projective Schemes. Lecture Notes, CIMPA-Tubitak Summer School on Commutative Algebra and Applications to Combinatorics and Algebraic Geometry, 15-25 September 2010, Istanbul, Turkia [pdf]

Markus Brodmann (2010). Around Castelnuovo-Mumford Regularity. Lecture Notes, University of Zürich (2010, preliminary version) [pdf]

Markus Brodmann, Stefan Fumasoli, Fred Rohrer (2010). First Lectures on Local Cohomology. Lecture Notes, University of Zürich (2007, extended, preliminary version) [pdf]

Markus Brodmann, Roberto Boldini, Fred Rohrer. Kommutative Algebra. Vorlesungsskript, Universität Zürich (2009, vorläufige Fassung der Kapitel 1-13) [pdf]

Markus Brodmann, Fred Rohrer (2007). Zahlentheorie für Studierende des Lehramtes der Sekundarstufe I. Vorlesungsskript mit Musterlösungen, Universität Zürich (2007) [pdf]

Markus Brodmann. Analysis für die Naturwissenschaften. Vorlesungsfolien, Universität Zürich (2004-2010) [pdf]

Markus Brodmann, Simon Kurmann, Andri Cathomen (2011). Die Piraten der Revenge - ein Sammelsurium wohlfeiler und wahrhaftiger Erlebnisse der ehrbaren Seefahrer der Revenge, den Nutzen der Mathematik illustrierend.. Ergänzung zu den Übungen für die Vorlesung MAT 182, Analysis für die Naturwissenschaften, HS 2010 [pdf]

Markus Brodmann (2008). Präsentationen von Flächen. MNF Event "175 Jahre Universität Zürich", 19. April 2008 [pdf]

Markus Brodmann (2008). Aufblasungen von Flächen. MNF Event "175 Jahre Universität Zürich", 19. April 2008 [pdf]

Markus Brodmann. Warum wird man Mathematiker?. Antrittsvorlesung (Inaugural Lecture), University of Zürich, Zürich/Switzerland, 14.June 1993 [pdf]

Markus Brodmann (2008). Vom Möbius-Band zur Hilbert-Funktion. Projekt an der Nationalen Forschungsausstellung HEUREKA 1991
Dokumentation [pdf]

Markus Brodmann (2001). Vom Möbius-Band zur Hilbert-Funktion. Projekt an der Nationalen Forschungsausstellung HEUREKA 1991
Poster [pdf]

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2. Textbooks

 

Markus Brodmann, Rodney Y. Sharp (2012). Local Cohomology-An Algebraic Introduction with Geometric Applications. Second Edition.. Cambridge Studies in Advanced Mathematics 136, Cambridge University Press (2012) 505 pages, 330 exercises, ISBN 9780521513630 [pdf]

Markus Brodmann, Rodney Y. Sharp (1998). Local Cohomology-An Algebraic Introduction with Geometric Applications. Cambridge Studies in Advanced Mathematics 60, Cambridge University Press (1998) 416 pages, 5 illustrations, ISBN 0 521 37286 0 [pdf]

Markus Brodmann (1989). Algebraische Geometrie-eine Einführung. Basler Lehrbücher, A Series of Advanced Textbooks in Mathematics, Band 1, Birkhäuser Verlag Basel-Boston-Berlin (1989) 470 pages, 79 illustrations, ISBN 3-7643-1779-5 // Reprinted as "Introduction to Algebraic Geometry" (under Springer Licence, 2017) by "Harbin Institute of Technology Press Ltd", April 2018, Chinese ISBN: 978-7-5603-6900-6. [pdf]

Markus Brodmann, Hans Keller (2017). Algebraische Geometrie - eine Einfuehrung. Verbesserungen, Kommentare und Ergaenzungen zum Lehrbuch [pdf]

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3. Publications and Preprints since 1999 


For the complete list of publications go back to "Brodmann" (link on top of this site), click "Homepage" and then the link "Publications" in the upper left corner. According to an agreement with our institute, published articles are posted in their final preprintnt version. Electronic offprints are available on request.

 

Markus Brodmann (2019). Idle Thoughts on Local Cohomology and Related Topics, an open-ended Account on Resistant Odds and Serious Problems . Preliminary Preprint, 2017 - ... [pdf]

Markus Brodmann, P. Schenzel. Families of blowups of the real affine plane: Classification, isotopies and visualization (Revised Version);. Journal of Symbolic Computation, 104 (2021) 874 - 898; available online 19. October 2020; doi.org/10.1016/j.jsc.2020.10.004 [pdf]

Markus Brodmann, Peter Schenzel (2018). Families of Blowups of the Real Affine Plane: Classification, Isotopies and Visualizations. Preprint 2018, Nr 94, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig [pdf]

Markus Brodmann. Notes on Weyl Algebras and D-Modules, Revised and Extended Version; in: Commutative Algebra and its Interaction to Algebraic Geometry, VIASM 2013-2014, Nguyen Tu Cuong, Le Tuan Hoa, Ngo Viet Trung Editors. Springer Leture Notes in Mathematics 2210, Springer International Publishing AG (2018), pg. 1 - 117. [pdf]

Markus Brodmann. Notes on Weyl Algebras and D-Modules;. in: Four Lecture Notes on Commutative Algebra (Ed.: Nguyen Tu Cuong, Le Tuan Hoa, Ngo Viet Trung); Lecture Notes Series of the Vietnam Institute for Advanced Study in Mathematics, Volume 4 (2015) 7-97. [pdf]

Markus Brodmann (2015). Bounding cohomology of coherent sheaves over projective schemes. Journal of Theoretical and Computational Mathematics; Vol. 2, No. 1, March 2016, 6-70 [pdf]

Euisung Park, Markus Brodmann (2014). On linear projections of quadratic varieties. Proceedings of the American Mathematical Society, 144, Number 6, June 2016, 2307-2314; electronically published: October 14, 2015; DOI: http://dx.doi.org/10.1090/proc/12885 [pdf]

Markus Brodmann, Cao Huy Linh (2013). Castelnuovo-Mumford regularity, postulation numbers and relation types. Journal of Algebra 419 (2014) 124-140; available online 25. August 2014; DOI: 10.1016/j.jalgebra.2014.07.014 [pdf]

Wanseok Lee, Euisung Park, Peter Schenzel, Markus Brodmann. Projective varieties of maximal sectional regularity. Journal of Pure and Applied Algebra 221 (2017) 98 - 118; available online 2. June 2016; doi.org/10.1016/j.jpaa.2016.05.028 [pdf]

Markus Brodmann, Wanseok Lee, Euisung Park, Peter Schenzel (2015). Projective varieties of maximal sectional regularity. Preprint (2015); arXiv:1502.01769vl[math.AC] 6 Feb 2015 [pdf]

Markus Brodmann, Wanseok Lee, Euisung Park, Peter Schenzel (2016). On surfaces of maximal sectional regularity . Taiwanese Journal of Mathematics 21, No 3 (2017) 549 - 576 [pdf]

Markus Brodmann, Wanseok Lee, Euisung Park, Peter Schenzel (2015). On surfaces of maximal sectional regularity. A collection of results, Preprint (2015); arXive:1502.01770.v1[math.AG]6.Feb.2015 [pdf]

Markus Brodmann, Wanseok Lee, Euisung Park, Peter Schenzel. Projective surfaces of maximal sectional regularity. A complete account of results, Preprint (2013), arXive:1305.2355v.1[math.AG], May 10, 2013. [pdf]

Markus Brodmann, Andri Cathomen, Bernhard Keller. Bounding patterns for the cohomology of vector bundles. Proceedings of the American Mathematical Society Vol 142, Number 7, July 2014, Pages 2327-2336, electronically published on March 19, 2014 / DOI: S 0002-9939(2014)12124-3 [pdf]

Markus Brodmann, Le Thanh Nhan (2012). On canonical Cohen-Macaulay modules. Journal of Algebra 371 (2012) 480-491 / DOI: 10.1016/j.jalgebra.2012.09.002; published on-line 12 September 2012. [pdf]

Markus Brodmann, Cao Huy Linh, Maria-Helena Seiler (2012). Castelnuovo-Mumford regularity of annihilators, Ext- and Tor-modules. in: Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday (I. Peeva, Ed.), pg. 207-236, Chapter 6; DOI 10.1007/978-1-4614-5292-8_6, Springer Science & Business Media New York Heidelberg Dordrecht London (2013) [pdf]

Markus Brodmann, P. Schenzel (2011). Projective surfaces of degree r+1 in projective r-space and almost non-singular projections,. Journal of Pure and Applied Algebra 216 (2012) 2241-2255/ DOI:10.1016/j.jpaa.2012.03.008; published online 12 March 2012. [pdf]

Markus Brodmann, Maryam Jahangiri (2011). Tame loci of certain local cohomology modules. Journal of Commutative Algebra 4, No 1, Spring 2012, 79-100 (2012) [pdf]

Markus Brodmann, Euisung Park. On varieties of almost minimal degree III: Tangent spaces and embedding scrolls. Journal of Pure and Applied Algebra 215 (2011) 2859-2872 / doi: 10.10.16/j.jpaa.2011.04.006; electronically published 12 May 2011 [pdf]

Markus Brodmann, P. Schenzel (2009). Projective curves with maximal regularity and applications to syzygies and surfaces. Manuscripta Mathematica 135 (2011) 469-495; DOI: 10.1007/s00229-011-0426-0; electronically published 19 January 2011 [pdf]

Markus Brodmann, Euisung Park (2008). On varieties of almost minimal degree I: secant loci of rational normal scrolls. Journal of Pure and Applied Algebra 214 (2010) 2033-2043, doi: 10.1016/j.jpaa.2010.02.009; electronically published 7 March 2010 [pdf]

Markus Brodmann, Maryam Jahangiri, Cao Huy Linh. Boundedness of cohomology. Journal of Algebra 323 (2010) 458 - 472 / doi: 10.1016/j.algebra.2009.07.032; electronically published 26 August 2009 [pdf]

Markus Brodmann, Peter Schenzel, Euisung Park (2010). On varieties of almost minimal degree II: A rank-depth formula. Proceedings of the AMS 139 (2011) 2025-2032; DOI:10.1090/S0002-9939-2010-10667-6; electronically published 24 November 2010 [pdf]

Markus Brodmann, Maryam Jahangiri, Cao Huy Linh (2008). Castelnuovo-Mumford regularity of deficiency modules (revised 2009). Journal of Algebra 322 (2009) 12816-12838 / doi: 10.1016/j.jalgebra.2009.06.027; electronically published 14 August 2009 [pdf]

Markus Brodmann (2008). Blowing-Up!. KIAS Newsletters, Korea Institute for Advanced Study / March 1st, 2009 / pg.40-43 [pdf]

Markus Brodmann, Renate Bär (2008). Asymptotic depth of twisted higher direct image sheaves. Proceedings of the American Mathematical Society 137, Number 6 (2009) 1945-1950; S 0002-9939(08)09759-1; electronically published 17 December 2008 [pdf]

Markus Brodmann, Rodney Y. Sharp. Supporting degrees of multi-graded local cohomology modules. Journal of Algebra 321 (2009) 450-482 / DOI:10.1016/j.jalgebra.2008.10.013 [pdf]

Markus Brodmann, Thomas Götsch (2005). Bounds for the Castelnuovo-Mumford Regularity. Journal of Commutative Algebra 1, No 2, Summer 2009, 197-225 (2009) / DOI:10.1216/JCA-2009-1-2-1 [pdf]

Markus Brodmann, Le Thanh Nhan (2006). A Finiteness Result for Associated Primes of certain Ext-Modules. Communications in Algebra, 36 (04), 1527-1536 (2008) [pdf]

Markus Brodmann, Fred Rohrer, Simon Kurmann (2006). An Avoidance Principle with anApplication to the Asymptotic Behaviour of Graded Local Cohomology. Journal of Pure and Applied Algebra 210, 639-643 (2007) [pdf]

Markus Brodmann (2007). Zur Dissertation von Emil Bruggmann. in: B.Oetterli (Hrsg.) "Kleine Welt und grosse Welt - um ein Thurgauer Dorfschulhaus / ein Lesebuch zu 100 Jahre Schulhaus Dozwil (1907-2007)", 119-124 (2007) [pdf]

Markus Brodmann (2005). A cohomological stability result for projective schemes over surfaces. Crelle's Journal für die Reine und Angewandte Mathematik 206, 179-192 (2007) [pdf]

Markus Brodmann, P. Schenzel (2005). Arithmetic properties of projective varieties of almost minimal degree. Journal of Algebraic Geometry 16, 347-400 (2007); electronically published 22 January 2007 [pdf]

Markus Brodmann (2005). Four Lectures on Local Cohomology. in: T.Trivikraman, K.V.Geetha, Sr.Lilly P.L.(Eds),"Proceedings of the International Workshop on Commutative Algebra and Algebraic Geometry", Irinjalakuda, Kerala/India, July 18-23, 2005; 3-46 (2006) [pdf]

Markus Brodmann, P. Schenzel (2005). On varieties of almost minimal degree in small codimension. Journal of Algebra 305, 789-801 (2006); electronically published 2 May 2006 [pdf]

Markus Brodmann (2004). Asymptotic behaviour of cohomology: tameness, supports and associated primes. in: S. Ghorpade, H. Srinivasan, J. Verma (Eds.), "Commutative Algebra and Algebraic Geometry" Proceedings, Joint International Meeting of the AMS and the IMS on Commutative Algebra and Algebraic Geometry, Bangalore/India, December 17-20, 2003, Contemporary Mathematics Vol 390, 31-61 (2005) [pdf]

Markus Brodmann, Fred Rohrer, R. Sazeedeh (2004). Multiplicities of graded components of local cohomology modules. Journal of Pure and Applied Algebra 197, 249-278 (2005); electronically published 22 October 2004 [pdf]

Markus Brodmann, Fred Rohrer (2003). Hilbert-Samuel coefficients and postulation numbers of graded components of certain local cohomology modules. Proceedings of the AMS 133, Number 4, 987-993 (2005); electronically published 19 November 2004 [pdf]

Markus Brodmann, C.S. Lim, Stefan Fumasoli (2003). Low-codimensional associated primes of graded components of local cohomology modules. Journal of Algebra 275, 867-882 (2004) [pdf]

Markus Brodmann, Martin Huber, Juerg Kramer (2003). Zum 100. Geburtstag von J.J. Burckhardt. Elemente der Mathematik 58, 133-133 (2003) [pdf]

Markus Brodmann (2002). Castelnuovo regularity and degrees of generators of graded submodules. Illinois Journal of Mathematics 47, Number 3, Fall 2003, 749-767 (2003) [pdf]

Markus Brodmann, Rodney Y. Sharp (2003). Geometric domains with specified pseudo-dimensions. Journal of Pure and Applied Algebra 182, 151-164 (2003) [pdf]

Markus Brodmann, Stefan Fumasoli, Roshan Tajarod (2002). Local cohomology over homogeneous rings with one-dimensional local base ring. Proceedings of the AMS 131. Nummer 10, 2977-2985 (2003)

Markus Brodmann, Carlo Matteotti, Nguyen Duc Minh (2002). Bounds for cohomological deficiency functions of projective schemes over artinian rings. Vietnam Journal of Mathematics 31:1, 71-113 (2003)

Markus Brodmann, P. Schenzel (2002). On Projective Curves of Maximal Regularity. Mathematische Zeitschrift 244, 271-289 (2003) [pdf]

Markus Brodmann, A.F. Lashgari (2001). A diagonal bound for cohomological postulation numbers of projective schemes. Journal of Algebra 265, 631-650 (2003) [pdf]

Markus Brodmann (2002). Strips, Tubes, Bottles, Caps, Umbrellas - a few Examples of Visualizations of Surfaces. Bulletin of the Bombay Mathematical Colloquium 17:1-2, January 2001, 1-26 (2002) [pdf]

Markus Brodmann, M. Hellus (2001). Cohomological patterns of coherent sheaves over projective schemes. Journal of Pure and Applied Algebra 172, 165-182 (2002) [pdf]

Markus Brodmann (2001). A rigidity result for highest order local cohomology modules. Archiv der Mathematik, 79, 87-92 (2002)

Markus Brodmann, M. Katzman, Rodney Y. Sharp. Associated primes of graded components of local cohomology modules. Transactions of the AMS 354, Number 11, 4261-4283 (2002) [pdf]

Markus Brodmann (2001). Cohomological invariants of coherent sheaves over projective schemes - a survey. in: G. Lyubeznik (Ed) "Local Cohomology and its Applications", 91-120, M. Dekker Lecture Notes 226, M. Dekker (2001) [pdf]

Markus Brodmann, Rodney Y. Sharp. On the dimension and the multiplicity of local cohomology modules. Nagoya Mathematical Journal 167, 217-233 (2002)

Markus Brodmann, Claudia Albertini Schorn (2001). A bound on certain local cohomology modules and application to ample divisors. Nagoya Mathematical Journal 163, 87-106 (2001)

Markus Brodmann. Lectures on Local Cohomology. Institute of Mathematics, Hanoi (2001)

Markus Brodmann, P. Schenzel (2001). Curves of degree r+2 in P(r): Cohomological, geometric and homological aspects. Journal of Algebra 242, 577-623 (2001)

Markus Brodmann, Carlo Matteotti, Nguyen Duc Minh (2000). Bounds for cohomological Hilbert functions of projective schemes over artinian rings. Vietnam Journal of Mathematics 28:4, 345-384 (2000)

Markus Brodmann, A.F. Lashgari (2000). A finiteness result for associated primes of local cohomology modules. Proceedings of the AMS 128, 2851-2853 (2000)

Markus Brodmann, C. Rotthaus, Rodney Y. Sharp (2000). On annihilators and associated primes of local cohomology modules. Journal of Pure and Applied Algebra 153, 197-227 (2000)

Markus Brodmann (1999). Cohomology of certain projective surfaces with low sectional genus and low sectional degree. in: «Commutative Algebra, Algebraic Geometry and Computational Methods» (D. Eisenbud, Ed.), 173-200, Springer (1999)

Markus Brodmann (1999). Cohomology of surfaces in P(r) of degree < 2r-1. in: «Commutative Algebra and Algebraic Geometry» (F. van Oystayen, Ed.), 15-33, M. Dekker Lecture Notes 206, M. Dekker (1999)

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4. Testimonies: Glaubenszeugnisse und Vorträge 

Markus Brodmann. Grenzen des menschlichen Erkennens I / II. Vorträge, gehalten an Radio Maria Schweiz am 5. März und 7. Mai 2014 [pdf]

Markus Brodmann. Weltkirche im Alltag erlebt: Vietnam I / II. Vorträge, gehalten an Radio Maria Schweiz am 22. März und 13. Dezember 2014 [pdf]

Markus Brodmann. Maria und Mathematik. Vortrag, gehalten in der Pfarrei St.Joseph Zürich am 30. Mai 2014 [pdf]

Markus Brodmann. Wissenschaft, mit den Augen des Glaubens betrachtet. Vortrag, gehalten an Radio Maria Schweiz am 2.Juli 2014 [pdf]

Markus Brodmann. Weltkirche im Alltag erlebt: Indien I / II. Vorträge, gehalten an Radio Maria Schweiz am 12. Juli und 16. August 2014 [pdf]

Markus Brodmann. Maria - Mathematik. Vortrag, gehalten an Radio Maria Schweiz am 20. August 2014 [pdf]

Markus Brodmann. Der Griff nach dem Unendlichen I / II. Vorträge, gehalten an Radio Maria Schweiz am 3. September 2014 und am 29. Oktober 2014 [pdf]

Markus Brodmann. Weltkirche im Alltag erlebt: Uganda I / II . Vorträge, gehalten an Radio Maria Schweiz am 6. und 19. September 2014 [pdf]

Markus Brodmann. Wissenschaftliche Einsicht und Heiliger Geist. Vortrag, gehalten an Radio Maria am 12. November 2014 [pdf]

Markus Brodmann. Festlegung und Berechnung der Osterdaten in Ost und West. Vortrag, gehalten an Radio Maria Schweiz am 18. März 2015 [pdf]

Markus Brodmann. Weltkirche im Alltag erlebt: Islamische Länder I - IV. Vorträge, gehalten an Radio Maria Schweiz am 18. April, am 9. Mai, am 11. Juli und am 8. August 2015 [pdf]

Markus Brodmann. Brief an Pink Cross, 11. August 2015 [pdf]

Markus Brodmann. Zahlen in der Heiligen Schrift I / II. Vorträge, gehalten an Radio Maria Schweiz am 12. September 2015 und am 10. Oktober 2015 [pdf]

Markus Brodmann. Bis dass der Tod euch scheidet - und doch getrennt. Vortrag, gehalten an Radio Maria Schweiz am 28. September 2015 [pdf]

Markus Brodmann. Weltkirche im Alltag erlebt: Südkorea I - IV. Vorträge gehalten an Radio Maria Schweiz am 15. November 2015, am 12. Dezember 2015, am 9. Januar 2016 und am 16. Juli 2016 [pdf]

Markus Brodmann. Wahrheit und Beweisbarkeit I - III. Vorträge gehalten an Radio Maria Schweiz am 13. Februar, am 12. März und am 16. April 2016 [pdf]

Markus Brodmann. Gewissenserforschung zu Ehe und Familie. Leitgedanken für eine Sendung mit Pfarrer Th. Rellstab am Radio Maria Schweiz vom 2. März 2016 [pdf]

Markus Brodmann. Biblische und Persoenliche Betrachtungen zum Islam I - III. Vorträge gehalten an Radio Maria Schweiz am 7. November 2016, am 28. November 2016 und am 26. Dezember 2016 [pdf]

Markus Brodmann. Wer teilt mit mir das Mastkalb?. Vortrag gehalten an Radio Maria Schweiz am 8. April 2017 [pdf]

Markus Brodmann. Weltkirche im Alltag erlebt: USA und Mexico I - III. Vortraege gehalten an Radio Maria Schweiz am 14. Januar 2017, am 18. Februar 2017 und am 15. Mai 2017 [pdf]

Markus Brodmann. Zwei Berichte aus Vietnam - September 2017

Markus Brodmann. "Pläne des Heils, ... nicht des Unheils" (Jer 29,11) - ein Erfahrungsbericht. Vortrag, gehalten am "Wochenende für sakramental verheiratete, verlassene Ehepartner", 19.10. - 21.10.2018, Geistliches Zentrum "Familien mit Christus", Hohenthann-Heiligenbrunn (Niederbayern) [pdf]

Markus Brodmann. Einführung in das Rosenkranzgebet. Abendlob in der Pfarrei Herz Jesu Winterthur vom 20. Dezember 2018 [pdf]

Markus Brodmann. Die 24 Fragen des Koreaners Lee Byunchull. Hintergrund-Manuskript für eine sechsteilige Sendereihe bei Radio Maria Schweiz, erstes Halbjahr 2019 [pdf]

Markus Brodmann. Was sagt die Bibel über die Ehe?. Vortrag, gehalten am Männerwochenende vom 19. - 20. Juli 2019 im Kloster Brandenburg bei Illertissen (Oberschwaben) [pdf]

Markus Brodmann. Der Georg-Häfner-Kreis für Ehemänner in Scheidung: Treue halten in dunklen Tagen der Ehe . Sendung vom 5. Februar 2020 an Radio Maria Schweiz [pdf]

Markus Brodmann. Bildbetrachtung zum Fest der Heiligen Familie: . Impulsreferat für den Georg-Häfner-Kreis, 7. Februar 2020 [pdf]

Markus Brodmann. Oesterliche Tage im Zeichen der Corona-Krise: . Persönlicher Bericht, 19. April 2020 [pdf]

Markus Brodmann. Dankesschreiben zum Geburtstag und ... zur Geburt von Ewa Leonie: . Rundschreiben vom 2. Juli 2020 [pdf]

Markus Brodmann. Einige Gedanken, angeregt durch das von Claudia Rommerskirchen verfasste Protokoll über die Tora-Lehrstunde vom 25. Juni 2020 mit Yaval Lapide zum Thema "Denn von Zion geht die Lehre aus (Jesaja 2, 1-5)": . 8. September 2020 [pdf]

Markus Brodmann. Väter und Söhne. Impulsreferat, vorbereitet für das abgesagte Treffen des Georg-Häfner-Kreises vom 20. Dezember 2020 [pdf]

Markus Brodmann. Sendereihe "Wissenschaft und Glaube": Leitmanuskript für eine dreiteilige Sendung mit Dr. Mathias Egg, Universität Bern, gesendet durch Radio Maria Schweiz im April 2021 [pdf]

Markus Brodmann. Sendereihe "Wissenschaft und Glaube": Leitmanuskript für eine dreiteilige Sendung mit Professor Davor Pavuna EPFL, gesendet durch Radio Maria Schweiz im Mai 2021 [pdf]