Mathematics

Technical Publications

Journal Articles

    1. Bartnicki-Garcia, S., Bartnicki, D.D., Gierz, G. 0. "Determinants of fungal cell wall morphology:  the vesicle supply center". Can. J. Botany. p.S372-S378. (Refereed)  

    2. Gierz, G., Keimel, K. 1976. "Topologische Darstellung von Verbanden". Math. Z. p.83-99. (Refereed)  

    3. Gierz, G. 1978. "Representation of spaces of compact operators and applications to the approximation property". Archiv der Mathematik. p.622-628. (Refereed)  

    4. Gierz, G. 1982. "Colimits of Continuous Lattices". J. of Pure and Applied Algebra. p.137-144. (Refereed)  

    5. Gierz, G. 1983. "Injective Banach lattices with strong order units". Pacific J. of Math. p.297-305. (Refereed)  

    6. Gierz, G., Stralka, A. 1984. "The Zariski Topology for Distributive Lattices". Rocky Mountain Journal of Mathematics. p.195-217. (Refereed)  

    7. Gierz, G., Stralka, A. 1985. "Distributive lattices with sufficiently many chain intervals". Algebra Universalis. p.77-89. (Refereed)  

    8. Gierz, G., Lawson, J., Stralka, A. 1985. "Intrinsic Topologies on Semilattices of Finite Breadth". Semigroup Forum. p.1-17. (Refereed)  

    9. Faigle, U., Gierz, G., Schrader, R. 1985. "Algorithmic approaches to setup minimization". SIAM J. COMPUT. p.954-965. (Refereed)  

    10. Gierz, G. 1986. "On the Dunford-Pettis Property of Function Modules of Abstract L-Spaces". Pacific Journal of Mathematics. p.73-82. (Refereed)  

    11. Gierz, G., Shekhtman, B. 1986. "A Duality Principle for Rational Approximation". Pacific Journal of Mathematics. p.79-82. (Refereed)  

    12. Gierz, G., Shekhtman, B. 1986. "On Approximation by Rationals from a Hyperplane". Proceedings of the AMS. p.452-454. (Refereed)  

    13. Gierz, G. 1987. "Integral Representations of Linear Functionals on Function Modules". Rocky Mountain Journal of Mathematics. p.545-554. (Refereed)  

    14. Gierz, G., Stralka, A. 1987. "Sublattices of Euclidean Spaces". Semigroup Forum. p.303-315. (Refereed)  

    15. Gierz, G. 1987. "A Compact Semilattice on the Hilbert Cube with No Interval Homomorphism". Proc. of AMS. p.592-594. (Refereed)  

    16. Gierz, G., Shekhtman, B. 1988. "On Spaces with Large Chebyshev Subspaces". J. of Approx. Theory. p.155-161. (Refereed)  

    17. Gierz, G., Shekhtman, B. 1988. "On Duality in Rational Approximation". Rocky Mountain Journal of Mathematics. p.1-7. (Refereed)  

    18. Gierz, G., Stralka, A. 1989. "Modular lattices on the 3-cell are distributive". Algebra Universalis. p.1-6. (Refereed)  

   19. Bartnicki-Garcia, S., Hergert, F., Gierz, G. 1989. "Computer simulation of fungal morphogenesis and the mathematical basis for hyphal (tip) growth". Protoplasma. p.46-57. (Refereed)  

    20. Gierz, G., Stralka, A. 1990. "The Zariski Topology and Essential Extensions of Semilattices". J. of Pure & Appl. Algebra. p.135-148. (Refereed) 

    21. Gierz, G., Hergert, F. 1991. "The bandwidth problem for distributive lattices of breadth 3". Discrete Mathematics. p.157-177. (Refereed)  

    22. Gierz, G., Stralka, A. 1991. "Connected, Full-Valued Distributive Lattices of Finite Breadth". Houston Journal of Mathematics. p.351-365. (Refereed)  

    23. Gierz, G., Romanowska, A. 1991. "Duality for Distributive Bisemilattices". J. Australian Math. Soc. p.247-275. (Refereed)  

    24. Gierz, G., Stralka, A. 1992. "A characterization of full sublattices of finite dimensional Euclidean space". Topology and its Applications. p.59-72. (Refereed)  

    25. Gierz, G., Shekhtman, B. 1992. "On Archimedean Ordered Vector Spaces and a Characterization of Simplices". Proc. of the AMS. p.369-375. (Refereed)  

    26. Gierz, G. 1992. "Levels Sets in Finite Distributive Lattices of Breadth 3". Discrete Mathematics . p.51-63. (Refereed)  

    27. Gierz, G., Stralka, A. 1994. "On the Existence of Tangent Hyperplanes to Full Sublattices of Euclidean Space". Rocky Mountain Journal of Mathematics. p.1379-1403. (Refereed)  

    28. Gierz, G., Stralka, A. 1995. "Homogenous Sublattices of Euclidean Space". Houston J. Of Math. p.297-318. (Refereed)  

    29. Bartnicki-Garcia, S., Bartnicki, D., Gierz, G., Lopez-Franco, R., Bracker, C. 1995. "Evidence That Spitzenkorper Behavior Determines the Shape of a Fungal Hypha:  A Test of the Hyphoid Model". Experimental Mycology. p.153-159. (Refereed)  

    30. Gierz, G. 1996. "Morita Equivalence of Quasi-Primal Algebras and Sheaves". Algebra Universalis. p.570-576. (Refereed)  

    31. Reynaga-Pena, C., Gierz, G., Bartnicki-Garcia, S. 1997. "Analysis of the role of the Spitzenkorper in fungal morphogenesis by computer simulation of apical branching in Aspergillus niger". Proc. Natl. Acad. Sci. USA. p.9096-9101. (Refereed)  

    32. Riquelme, M., Reynaga-Pena, C., Bartnicki-Garcia, S. 1998. "What Determines Growth Direction in Fungal Hyphae?". Fungal Genetics and Biology. p.101-109. (Refereed)  

    33. Gierz, G., Stralka, A. 2000. "Quotients of Full Sublattices of Euclidean Space". Houston J. of Math. p.29-53. (Refereed)  

    34. Bartnicki-Garcia, S., Bracker, C., Gierz, G., Lopez-Franco, R., Lu, H. 2000. "Mapping the Growth of Fungal Hyphae: Orthogonal Cell Wall Expansion during Tip Growth and the Role of Turgor". Biophysical Journal. p.2382-2390. (Refereed)  

    35. Gierz, G., Bartnicki-Garcia, S. 2001. "A Three-Dimensional Model of Fungal Morphogenesis based on the Vesicle Supply Center concept". J. Theoretical Biology. p.151-164. (Refereed)  

Conference and Symposia Proceedings

    1. Gierz, G., Shekhtman, B. 1986. "Non-linear Approximation from a Hyperplane: Rational Approximation versus Product Approximation". Approximation Theory V, Academic Press. p.347-350. (Refereed, )  

Book Chapters

    1. Gierz, G. 1990. "The Normal Completion of the Lattice of Continuous Functions". The Dilworth Theorems:  Selected Papers of Robert P. Dilworth. Editors: Bogart, Freese and Kung. Birkhauser Verlag. p.445-449. (Refereed)  

    2. Bartnicki-Garcia, S., Hergert, F., Gierz, G. 1990. "A Novel Computer Model for Generating Cell Shape:  Application to Fungal Morphogenesis". Biochemistry of Cell Walls and Membranes. Editors: Kuhn et al., ed.. Springer Verlag. Heidelberg. p.43-60. (Refereed)  

    3. Bartnicki-Garcia, S., Gierz, G. 1991. "Predicting the Molecular Basis of Mycelial-Yeast Dimorphism with a New Mathemtical Model of Fungal Morphogenesis". More Gene Manipulations in Fungi. Editors: J.W. Bennett, L.L. Lasure. Academic Press. San Diego. p.27-48. (Refereed)  

    4. Bartnicki-Garcia, S., Gierz, G. 1993. "Mathemtical Analysis of the Cellular Basis of Fungal Dimorphism". Dimorphic Fungi in Biology and Medicine. Editors: H. Vanden Bossche, F.C. Odds, D. Kerridge. Plenum Press. New York. p.133-144. (Refereed)