Peter M. Gruber
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Mathematics
Peter M. Gruber's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Stanford University
- Bachelors Mathematics Stanford University
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Why Is Peter M. Gruber Influential?
(Suggest an Edit or Addition)According to Wikipedia, Peter Manfred Gruber was an Austrian mathematician working in geometric number theory as well as in convex and discrete geometry. Biography Gruber obtained his PhD at the University of Vienna in 1966, under the supervision of Nikolaus Hofreiter. From 1971, he was Professor at the University of Linz, and from 1976, at the TU Wien. He was a member of the Austrian Academy of Sciences, a foreign member of the Russian Academy of Sciences, and a corresponding member of the Bavarian Academy of Sciences and Humanities.
Peter M. Gruber's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Handbook of Convex Geometry (1993) (397)
- Convex and Discrete Geometry (2007) (226)
- Aspects of Approximation of Convex Bodies (1993) (186)
- Convex Sets and their Applications (2006) (185)
- Stability of isometries (1978) (175)
- Laser 3D Printing with Sub‐Microscale Resolution of Porous Elastomeric Scaffolds for Supporting Human Bone Stem Cells (2015) (169)
- Convexity and its applications (1983) (149)
- Approximation of convex bodies (1983) (138)
- Geometry of Numbers (2012) (136)
- Asymptotic estimates for best and stepwise approximation of convex bodies II (1993) (127)
- Optimum Quantization and Its Applications (2004) (105)
- Some biological issues in oral, controlled drug delivery (1987) (96)
- Cross-Linkable Gelatins with Superior Mechanical Properties Through Carboxylic Acid Modification: Increasing the Two-Photon Polymerization Potential (2017) (84)
- Baire Categories in Convexity (1993) (83)
- Gastric emptying of nondigestible solids in the fasted dog. (1987) (82)
- An arithmetic proof of John’s ellipsoid theorem (2005) (69)
- Approximation of convex bodies by polytopes (1982) (65)
- Highly Reactive Thiol-Norbornene Photo-Click Hydrogels: Toward Improved Processability. (2018) (61)
- Hybrid Tissue Engineering Scaffolds by Combination of Three-Dimensional Printing and Cell Photoencapsulation. (2015) (60)
- Thiol–Gelatin–Norbornene Bioink for Laser‐Based High‐Definition Bioprinting (2019) (58)
- Enzymatic synthesis of hyaluronic acid vinyl esters for two-photon microfabrication of biocompatible and biodegradable hydrogel constructs (2014) (56)
- Asymptotic estimates for best and stepwise approximation of convex bodies I (1993) (56)
- The Space of Convex Bodies (1993) (55)
- A Modular Approach to Sensitized Two‐Photon Patterning of Photodegradable Hydrogels (2018) (54)
- Plasmon assisted 3D microstructuring of gold nanoparticle-doped polymers (2016) (53)
- Volume approximation of convex bodies by inscribed polytopes (1988) (52)
- An optimal lower bound for the Frobenius problem (2005) (50)
- Fabrication of biomimetic placental barrier structures within a microfluidic device utilizing two-photon polymerization (2018) (48)
- Minimal ellipsoids and their duals (1988) (47)
- Problems in Geometric Convexity (1979) (42)
- Blocking Hsp70 Enhances the Efficiency of Amphotericin B Treatment against Resistant Aspergillus terreus Strains (2015) (39)
- A biocompatible diazosulfonate initiator for direct encapsulation of human stem cells via two-photon polymerization (2018) (36)
- A biocompatible macromolecular two-photon initiator based on hyaluronan† †Electronic supplementary information (ESI) available. See DOI: 10.1039/c6py01787h Click here for additional data file. (2016) (36)
- Design, physical prototyping and initial characterisation of ‘lockyballs’ (2012) (35)
- Volume Approximation of Convex Bodies by Circumscribed Polytopes (1990) (35)
- Delivery of Human Adipose Stem Cells Spheroids into Lockyballs (2016) (35)
- John and Loewner Ellipsoids (2011) (33)
- Application of an idea of Voronoĭ to John type problems (2008) (32)
- Dimension and structure of typical compact sets, continua and curves (1989) (30)
- Asymptotic estimates for best and stepwise approximation of convex bodies III (1997) (29)
- RESULTS OF BAIRE CATEGORY TYPE IN CONVEXITY (1985) (28)
- Modular material system for the microfabrication of biocompatible hydrogels based on thiol–ene‐modified poly(vinyl alcohol) (2016) (28)
- Investigating capillary electrophoresis‐mass spectrometry for the analysis of common post‐translational modifications (2018) (26)
- Wavelength-optimized Two-Photon Polymerization Using Initiators Based on Multipolar Aminostyryl-1,3,5-triazines (2018) (25)
- Thienoquinolines as Novel Disruptors of the PKCε/RACK2 Protein–Protein Interaction (2014) (25)
- The endomorphisms of the lattice of norms in finite dimensions (1992) (24)
- Optimal Configurations of Finite Sets in Riemannian 2-Manifolds (2001) (24)
- A short analytic proof of Fejes Tóth's theorem on sums of moments (1999) (24)
- MOMENT VECTORS OF POLYTOPES (2002) (22)
- Chain Lengthening of Carboxylic Acids by Three Carbon Atoms via Oxazol‐5‐one Anions (1971) (21)
- Pathway-focused bioassays and transcriptome analysis contribute to a better activity monitoring of complex herbal remedies (2013) (21)
- Modulators of protein-protein interactions: novel approaches in targeting protein kinases and other pharmaceutically relevant biomolecules. (2011) (21)
- Thiol-norbornene gelatin hydrogels: influence of thiolated crosslinker on network properties and high definition 3D printing (2020) (20)
- The endomorphisms of the lattice of convex bodies (1991) (20)
- Error of Asymptotic Formulae for Volume Approximation of Convex Bodies in (2002) (19)
- Cellular reactions to long-term volatile organic compound (VOC) exposures (2016) (19)
- Isometries of the Space of Convex Bodies in Euclidean Space (1980) (18)
- Generic properties of compact starshaped sets (1990) (17)
- A typical convex surface contains no closed geodesic. (1991) (17)
- Application of an idea of Voronoĭ to lattice zeta functions (2012) (16)
- Screening of two-photon activated photodynamic therapy sensitizers using a 3D osteosarcoma model. (2019) (15)
- Only ellipsoids have caustics (1995) (15)
- Polymer architecture as key to unprecedented high-resolution 3D-printing performance: The case of biodegradable hexa-functional telechelic urethane-based poly-ε-caprolactone (2020) (14)
- Hyaluronic acid vinyl esters: A toolbox toward controlling mechanical properties of hydrogels for 3D microfabrication (2020) (14)
- Facet-to-facet Implies Face-to-face (1989) (13)
- History of Convexity (1993) (13)
- Expectation of random polytopes (1996) (12)
- Geometry of the cone of positive quadratic forms (2009) (12)
- Evidence of Concentration dependence of the two-photon absorption cross section: Determining the "true" cross section value (2015) (12)
- Isometries of spaces of compact or compact convex subsets of metric manifolds (1982) (11)
- Calibration of colloidal probes with atomic force microscopy for micromechanical assessment. (2018) (11)
- Approximation by Convex Polytopes (1994) (11)
- Barbituric acid derivative BAS 02104951 inhibits PKCε, PKCη, PKCε/RACK2 interaction, Elk-1 phosphorylation in HeLa and PKCε and η translocation in PC3 cells following TPA-induction. (2011) (11)
- Flexible oligomer spacers as the key to solid-state photopolymerization of hydrogel precursors (2017) (11)
- Base-Catalyzed Addition of Oxazol-5-ones to Activated Multiple Bonds† (1971) (10)
- Isometries of the space of convex bodies of E d (1978) (10)
- Measurement of degenerate two-photon absorption spectra of a series of developed two-photon initiators using a dispersive white light continuum Z-scan (2017) (10)
- The tetramethoxyflavone zapotin selectively activates protein kinase C epsilon, leading to its down-modulation accompanied by Bcl-2, c-Jun and c-Fos decrease (2012) (10)
- The space of compact subsets of Ed (1980) (10)
- Fully automated z-scan setup based on a tunable fs-oscillator (2019) (9)
- Stability of Blaschke's Characterization of Ellipsoids and Radon Norms (1997) (9)
- In Many Cases Optimal Configurations Are Almost Regular Hexagonal (2006) (9)
- Lattice packing and covering of convex bodies (2011) (8)
- Asymptotic estimates for best and stepwise approximation of convex bodies IV (1998) (8)
- A helmholtz-lie type characterization of ellipsoids, I (1995) (8)
- Shadow boundaries of typical convex bodies. measure properties (1989) (8)
- Isometrien des Konvexringes (1980) (8)
- Uniqueness of lattice packings and coverings of extreme density (2011) (8)
- A Helmholtz-Lie type characterization of ellipsoids, II (1996) (8)
- Convex billiards (1990) (7)
- Application of an idea of Voronoĭ to lattice packing (2014) (6)
- Improved intestinal cannula for drug delivery studies in the dog. (1988) (6)
- Applications of an Idea of Voronoĭ, a Report (2013) (6)
- Normal bundles of convex bodies (2014) (5)
- Voronoĭ type criteria for lattice coverings with balls (2011) (5)
- Isometries of the space of convex bodies contained in a Euclidean ball (1982) (5)
- Lattice Points in Large Borel Sets and Successive Minima (2005) (4)
- Geodesies on typical convex surfaces (1988) (4)
- Antibody Formation against Horseradish Peroxidase in Choroidal Plasma Cells in the Rabbit (1975) (3)
- Best Simultaneous Diophantine Approximations under a Constraint on the Denominator (2005) (3)
- Seven small pearls from convexity (1983) (3)
- How Well can Space be Packed with Smooth Bodies? Measure Theoretic Results (1995) (2)
- Claude Ambrose Rogers. 1 November 1920 — 5 December 2005 (2015) (1)
- Transcriptome analysis in HepG2 cells revealed multiple activity mechanisms of a Tibetan polyherbal formula (2012) (1)
- Laser-based 3D printing of hydrogel barrier models for microfludic applications (2017) (1)
- Abstract 3132: C6orf69 is down-modulated by protein kinase C epsilon and exhibits increased expression in breast cancers (2011) (1)
- High speed fabrication of large scale membranes by means of two-photon polymerization / von Peter Gruber (2013) (1)
- Application of an idea of Voronoĭ to lattice packing, supplement (2016) (1)
- Convex and Discrete Geometry: Ideas, Problems and Results (2006) (1)
- Biocompatible micropatterning of o‐nitrobenzyl crosslinked hydrogels by sensitized two-photon cleavage (2017) (1)
- Professor Jarńık ’ s contributions to the Geometry of Numbers (2006) (0)
- Medicament comprising dipyridamole or mopidamol and O-acetylsalicylic acid or the physiologically acceptable salts thereof (1987) (0)
- Number theory & discrete geometry : proceedings of the International Conference on Number Theory & Discrete Geometry held in honour of professor R.P. Bambah, November 30-December 3, 2005 (2008) (0)
- [New approaches to elucidate the activities of botanical multi-component mixtures]. (2013) (0)
- Extremum properties of lattice packing and covering with circles (2016) (0)
- α-AMINO ACIDS AS NUCLEOPHILIC ACYL EQUIVALENTS. II. SYNTHESIS OF Γ-DIKETONES USING OXAZOLIN-5-ONES (1979) (0)
- Characterization of spheres by stereographic projection (1993) (0)
- Medicinal products containing 9-deoxo-11-deoxy-9,11- (imino (2- (2-methoxyethoxy) ethylidene) oxy) - (9S) -erythromycin (1986) (0)
- Intelligent hydrogel design: Towards more performing hydrogel processing (2017) (0)
- Dipyridamole or mopidamol containing medically and acetylsalicylic acid o-treatable or its physiologically salts, process for their manufacture and their use to combat thrombus formation (1987) (0)
- Application of an idea of Voronoĭ to lattice packing, supplement (2015) (0)
- REACTIONS OF OXAZOLIN-5-ONE ANIONS, VIII. α-SUBSTITUTED α-AMINO ACIDS VIA ALKYLATION OF OXAZOLIN-5-ONES (1979) (0)
- Pharmaceutical composition for use in treating clot formation (1987) (0)
- Airborne exposure of A549 air–liquid-interphase cultures to formaldehyde at low ppm by using a novel exposure incubator system (2014) (0)
- Fully automated z-scan setup based on a tunable fs-oscillator (Conference Presentation) (2018) (0)
- A medicament comprising dipyridamole or Mopidamolund O-Acetysalicyls {acid salts, processes for their preparation and their use for combating {cushioning derThrombusbildung. (1987) (0)
- UpNano: a new horizon in high-resolution 2PP 3D-printing (2021) (0)
- Foerfarande Foer framstaellning of Foer oral anvaendning the fixed laekemedelsformer intended one, som innehaoller 9-Deoxo-11-deoxy-9,11- / phenylimino / 2- (2-metoxietoxi) ethylidene / oxy / (9s) -erytromycin. (1986) (0)
- Drug and trimagnesium dicitrate as a drying agent containing stabilized solid pharmaceutical forms and methods for their preparation (2007) (0)
- Solid pharmaceutical preparations for oral application containing 9-deoxo-11-deoxy-9,11- (imino (2- (2-methoxyethoxy) ethylidene) oxy) - (9S) -erythromycin, and processes for their preparation (1985) (0)
- Photo-crosslinkable gelatin blends for tissue engineering purposes: the perfect marriage between biocompatibility, mechanical control and laser-based processing (2016) (0)
- Application of an idea of Voronoĭ to lattice zeta functions (2012) (0)
- Active substance and trimagnesium dicrate as stabilized solid pharmaceuticals containing desiccant and process for their preparation (2007) (0)
- Number theory and discrete geometry : proceedings of the international conference on number theory and discrete geometry, Panjab University, Chandigarh, December 2005 (2010) (0)
- Advanced Applications of Thiol-Ene Formulations (2014) (0)
- A note on semigroups, groups and geometric lattices (2009) (0)
- Approximation of Convex Bodies by Inscribed Polytopes * (0)
- Easy to swallow pharmaceutical compositions, which do not cause unpleasant feeling in the mouth and compound particular particulars (2007) (0)
- A process for preparing compounds of substituted oxazolinone (5) (1973) (0)
- A medicament comprising dipyridamole or mopidamol and o-acetylsalicylic acid or its physiologically acceptable salts, processes for their preparation and their use for combating thrombus formation (1987) (0)
- Wavelength-optimized Two-Photon Polymerization Using Initiators Based on Multipolar Aminostyryl-1,3,5-triazines (2018) (0)
- Application of an idea of Voronoĭ to lattice packing (2012) (0)
- Letsynkelige pharmaceutical compositions which do not cause a unpleasant feeling in the mouth, and which comprises particles of an active substance (2007) (0)
- Oral dosage forms of propiverine or pharmaceutically acceptable salts thereof, with a delayed release of an active ingredient (2002) (0)
- Process for preparing solid pharmaceutical forms, containing 9-deoxo-11-deoxy-9,11- (iminon2- (2-methoxyethoxy) -ethylidene) oxy- (9s) -erythromycin as active substance (1986) (0)
- Oral forms of administration of propiverine or its pharmaceutically acceptable salts with prolonged release of active substance. (2002) (0)
- Oral forms of administration of propiverine or pharmaceutically acceptable salts thereof with extended release of the active substance. (2002) (0)
- The fixed laekemedelsformer Foer peroralisk anvaendning innehaollande 9-Deoxo-11-deoxi-9,11- / phenylimino / 2- (2-metoxietoxi) ethylidene / -oxi / - (9s) -erytromycin Science foerfarande Foer deras framstaellning. (1986) (0)
- Improvement of the two photon polymerization resolution of gelatin derived microstructures through chemical modification (2016) (0)
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