## Kalkbrener, Michael

Compute Distance To:
 Author ID: kalkbrener.michael Published as: Kalkbrener, Michael; Kalkbrener, M.
 Documents Indexed: 23 Publications since 1989, including 1 Book 1 Contribution as Editor Co-Authors: 12 Co-Authors with 7 Joint Publications 393 Co-Co-Authors
all top 5

### Co-Authors

 16 single-authored 2 Packham, Natalie 1 Collart, Stéphane 1 Herfort, Wolfgang N. 1 Hittmair, Otto 1 Mall, Daniel 1 Overbeck, Ludger 1 Seke, Josip 1 Sturmfels, Bernd 1 Sweedler, Moss Eisenberg 1 Taylor, Lee M. 1 Wall, Bernhard 1 Winkler, Franz
all top 5

### Serials

 8 Journal of Symbolic Computation 2 Mathematical Finance 1 Advances in Mathematics 1 Journal of Applied Probability 1 Sitzungsberichte. Abteilung II. Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse 1 Mathematica Pannonica 1 Applicable Algebra in Engineering, Communication and Computing 1 Euromath Bulletin 1 Annals of Mathematics and Artificial Intelligence 1 Quantitative Finance
all top 5

### Fields

 16 Computer science (68-XX) 15 Commutative algebra (13-XX) 5 Algebraic geometry (14-XX) 4 Field theory and polynomials (12-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

19 Publications have been cited 289 times in 255 Documents Cited by Year
An axiomatic approach to capital allocation. Zbl 1102.91049
Kalkbrener, Michael
2005
A generalized Euclidean algorithm for computing triangular representations of algebraic varieties. Zbl 0783.14039
Kalkbrener, Michael
1993
Converting bases with the Gröbner walk. Zbl 0908.13020
Collart, S.; Kalkbrener, M.; Mall, D.
1997
Initial complexes of prime ideals. Zbl 0877.13025
Kalkbrener, Michael; Sturmfels, Bernd
1995
On the stability of Gröbner bases under specializations. Zbl 1054.13502
Kalkbrener, Michael
1997
Solving systems of algebraic equations by using Gröbner bases. Zbl 1209.13003
Kalkbrener, Michael
1989
Algorithmic properties of polynomial rings. Zbl 0920.68129
Kalkbrener, Michael
1998
Three contributions to elimination theory. Zbl 0773.13008
Kalkbrener, Michael
1992
Implicitization of rational parametric curves and surfaces. Zbl 0749.14039
Kalkbrener, Michael
1991
Correlation under stress in normal variance mixture models. Zbl 1314.91246
Kalkbrener, Michael; Packham, Natalie
2015
On the complexity of Gröbner bases conversion. Zbl 0939.68170
Kalkbrener, Michael
1999
An axiomatic characterization of capital allocations of coherent risk measures. Zbl 1182.91158
Kalkbrener, Michael
2009
Prime decompositions of radicals in polynomial rings. Zbl 0832.13020
Kalkbrener, Michael
1994
CASA: A computer algebra package for constructive algebraic geometry. Zbl 0921.14040
Gebauer, R.; Kalkbrener, M.; Wall, B.; Winkler, F.
1991
An upper bound on the number of monomials in determinants of sparse matrices with symbolic entries. Zbl 0910.65025
Kalkbrener, M.
1997
A generalized Euclidean algorithm for geometry theorem proving. Zbl 0855.68093
Kalkbrener, Michael
1995
Asymptotic behaviour of multivariate default probabilities and default correlations under stress. Zbl 1345.60032
Packham, N.; Kalkbrener, M.; Overbeck, L.
2016
Application of primitive polynomial remainder sequences to a problem of quantum optics. Zbl 0739.68049
Kalkbrener, M.; Herfort, W.; Seke, J.; Hittmair, O.
1990
Primitive polynomial remainder sequences in elimination theory. Zbl 0845.12006
Kalkbrener, Michael
1995
Asymptotic behaviour of multivariate default probabilities and default correlations under stress. Zbl 1345.60032
Packham, N.; Kalkbrener, M.; Overbeck, L.
2016
Correlation under stress in normal variance mixture models. Zbl 1314.91246
Kalkbrener, Michael; Packham, Natalie
2015
An axiomatic characterization of capital allocations of coherent risk measures. Zbl 1182.91158
Kalkbrener, Michael
2009
An axiomatic approach to capital allocation. Zbl 1102.91049
Kalkbrener, Michael
2005
On the complexity of Gröbner bases conversion. Zbl 0939.68170
Kalkbrener, Michael
1999
Algorithmic properties of polynomial rings. Zbl 0920.68129
Kalkbrener, Michael
1998
Converting bases with the Gröbner walk. Zbl 0908.13020
Collart, S.; Kalkbrener, M.; Mall, D.
1997
On the stability of Gröbner bases under specializations. Zbl 1054.13502
Kalkbrener, Michael
1997
An upper bound on the number of monomials in determinants of sparse matrices with symbolic entries. Zbl 0910.65025
Kalkbrener, M.
1997
Initial complexes of prime ideals. Zbl 0877.13025
Kalkbrener, Michael; Sturmfels, Bernd
1995
A generalized Euclidean algorithm for geometry theorem proving. Zbl 0855.68093
Kalkbrener, Michael
1995
Primitive polynomial remainder sequences in elimination theory. Zbl 0845.12006
Kalkbrener, Michael
1995
Prime decompositions of radicals in polynomial rings. Zbl 0832.13020
Kalkbrener, Michael
1994
A generalized Euclidean algorithm for computing triangular representations of algebraic varieties. Zbl 0783.14039
Kalkbrener, Michael
1993
Three contributions to elimination theory. Zbl 0773.13008
Kalkbrener, Michael
1992
Implicitization of rational parametric curves and surfaces. Zbl 0749.14039
Kalkbrener, Michael
1991
CASA: A computer algebra package for constructive algebraic geometry. Zbl 0921.14040
Gebauer, R.; Kalkbrener, M.; Wall, B.; Winkler, F.
1991
Application of primitive polynomial remainder sequences to a problem of quantum optics. Zbl 0739.68049
Kalkbrener, M.; Herfort, W.; Seke, J.; Hittmair, O.
1990
Solving systems of algebraic equations by using Gröbner bases. Zbl 1209.13003
Kalkbrener, Michael
1989
all top 5

### Cited by 371 Authors

 11 Moreno Maza, Marc 7 Wang, Dongming 6 Gao, Xiaoshan 6 Mou, Chenqi 5 Boonen, Tim J. 5 Xia, Bican 4 Centrone, Francesca 4 Furman, Edward 4 Gutnik, Sergey A. 4 Kalkbrener, Michael 4 Overbeck, Ludger 4 Rosazza Gianin, Emanuela 4 Sarychev, Vasily A. 4 Schost, Éric 4 Thomas, Rekha R. 4 Winkler, Franz 3 Boulier, François 3 Faugère, Jean-Charles 3 Golubitsky, Oleg 3 Gutierrez, Jaime 3 Hashemi, Amir 3 Huang, Zhenyu 3 Jensen, Anders Nedergaard 3 Kim, Joseph Hyun Tae 3 Kromer, Eduard 3 Lazard, Daniel 3 Lemaire, François 3 Mora, Teo 3 Safey El Din, Mohab 3 Sala, Massimiliano 3 Sturmfels, Bernd 3 Trân, Quôc-Nam 3 Tsanakas, Andreas 3 Varbaro, Matteo 3 Wang, Dingkang 3 Yuan, Chunming 2 Alonso, César Luis 2 Asimit, Alexandru V. 2 Aubry, Philippe 2 Bae, Taehan 2 Bielecki, Tomasz R. 2 Brickenstein, Michael 2 Canna, Gabriele 2 Chen, Zhenghong 2 Choo, Weihao 2 Cialenco, Igor 2 Csóka, Péter 2 Dahan, Xavier 2 de Jong, Piet 2 De Waegenaere, Anja 2 Dehghani Darmian, Mahdi 2 Dickenstein, Alicia M. 2 Dong, Rina 2 Dorfleitner, Gregor 2 Dreyer, Alexander 2 Fukuda, Komei 2 Greuel, Gert-Martin 2 Guillen, Montserrat 2 Huang, Yanli 2 Iscoe, Ian 2 Kamiya, Shinichi 2 Knutson, Allen 2 Koike, Takaaki 2 Lai, Jiahua 2 Lecerf, Grégoire 2 Li, Jinzhu 2 Li, Xiaoliang 2 Li, Yongbin 2 Liu, Guangwu 2 Liu, Jiajun 2 Lu, Dong 2 Markwig, Thomas 2 Nabeshima, Katsusuke 2 Ngô Viêt Trung 2 Ngô, Lâm Xuân Châu 2 Norde, Henk 2 Orecchia, Ferruccio 2 Ortmann, Karl Michael 2 Packham, Natalie 2 Pintér, Miklós 2 Poteaux, Adrien 2 Recio, Tomas 2 Ren, Yue 2 Santolino, Miguel 2 Sasaki, Tateaki 2 Schreck, Pascal 2 Sendra, Juan Rafael 2 Su, Jianxi 2 Sun, Yao 2 Tang, Xiaoxian 2 Vogel, Wolfgang 2 Weispfenning, Volker 2 Wienand, Oliver 2 Yokoyama, Kazuhiro 2 Yong, Alexander 2 Zanjani, George 2 Zitikis, Ričardas 1 Afzal, Deeba 1 Afzal, Farkhanda 1 Akram, Safia ...and 271 more Authors
all top 5

### Cited in 79 Serials

 64 Journal of Symbolic Computation 20 Insurance Mathematics & Economics 10 Applicable Algebra in Engineering, Communication and Computing 10 Journal of Systems Science and Complexity 8 Mathematics in Computer Science 7 Journal of Algebra 7 European Journal of Operational Research 7 International Journal of Theoretical and Applied Finance 7 Quantitative Finance 7 ASTIN Bulletin 5 Theoretical Computer Science 4 Mathematics of Computation 4 Journal of Pure and Applied Algebra 4 Programming and Computer Software 3 Computers & Mathematics with Applications 3 Computer Aided Geometric Design 3 Journal of Complexity 3 Journal of Algebraic Combinatorics 3 North American Actuarial Journal 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 Journal of Combinatorial Theory. Series A 2 Journal of Computational and Applied Mathematics 2 Statistics & Probability Letters 2 Operations Research Letters 2 Annals of Mathematics and Artificial Intelligence 2 Mathematical Finance 2 Mathematics and Financial Economics 2 European Actuarial Journal 1 Communications in Algebra 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 Inventiones Mathematicae 1 Journal of Applied Probability 1 Journal of Combinatorial Theory. Series B 1 Journal of Mathematical Economics 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Operations Research 1 Proceedings of the American Mathematical Society 1 Cryptologia 1 Journal of Computer Science and Technology 1 International Journal of Approximate Reasoning 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Communications in Statistics. Theory and Methods 1 Computational Complexity 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Algebra Colloquium 1 International Journal of Computer Vision 1 Reliable Computing 1 ACM Transactions on Modeling and Computer Simulation 1 Journal of Mathematical Chemistry 1 Multibody System Dynamics 1 Mathematical Methods of Operations Research 1 Data Mining and Knowledge Discovery 1 Journal of Interdisciplinary Mathematics 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Extremes 1 CEJOR. Central European Journal of Operations Research 1 Probability in the Engineering and Informational Sciences 1 Scandinavian Actuarial Journal 1 Decisions in Economics and Finance 1 Portugaliae Mathematica. Nova Série 1 Advances in Mathematics of Communications 1 The B. E. Journal of Theoretical Economics 1 Journal of Commutative Algebra 1 Science China. Information Sciences 1 Journal of Probability and Statistics 1 Statistics & Risk Modeling 1 SIAM Journal on Applied Algebra and Geometry 1 Algebraic Combinatorics
all top 5

### Cited in 34 Fields

 106 Commutative algebra (13-XX) 92 Computer science (68-XX) 73 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 41 Algebraic geometry (14-XX) 22 Statistics (62-XX) 22 Numerical analysis (65-XX) 21 Field theory and polynomials (12-XX) 11 Combinatorics (05-XX) 11 Number theory (11-XX) 11 Information and communication theory, circuits (94-XX) 10 Probability theory and stochastic processes (60-XX) 8 Operations research, mathematical programming (90-XX) 5 Convex and discrete geometry (52-XX) 5 Mechanics of particles and systems (70-XX) 4 Ordinary differential equations (34-XX) 4 Partial differential equations (35-XX) 3 Associative rings and algebras (16-XX) 3 Geometry (51-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 $$K$$-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX)