Math 105

Algebraic Number Theory
Last updated January 17, 2020 10:01:36 EST

General Information



Textbook (none required), but useful references:
Algebraic Numbers and Algebraic Functions by Emil Artin
Algebraic Number Theory by Cassels and Frohlich
Analytic Number Theory by Larry J. Goldstein [course based on this book]
An Introduction to Topological Groups by P. J. Higgins
Algebraic Number Fields by Gerald Janusz
Algebraic Number Theory by Serge Lang
Number Fields by Daniel Marcus
Elementary and Analytic Theory of Algebraic Numbers by Wladyslaw Narkiewicz
Algebraic Number Theory by Jurgen Neukirch
Basic Number Theory by Andre Weil
Scheduled Lectures
T. R. Shemanske MWF 11:30 - 12:35
(x-hour) Tu 12:15 - 1:05
201 Kemeny
Instructor Office Office Hours Email
Shemanske 337 Kemeny Office Hours Email

Homework Policy

  • Written homework will be posted to the assignments page, and collected weekly, due at the beginning of Wednesday's class.
    Homework assigned on M, W, F of one week is due the following Wednesday.
  • Late homework will not be accepted. Starting assignments early will ensure you have at least some work to submit for grading.
  • Homework is to be written using only one side of 8.5 X 11 inch paper (you may use recycled paper if you wish to be environmentally friendly). You must write neatly (if the grader cannot read it, you will receive zero credit). If you use paper from a spiral notebook, please tear off the ragged edge. And staple all your papers together with the problems is the order assigned. The math office has a stapler you can use.
  • Use English. If you can't read your solutions aloud as fluently as if you were reading your textbook, try using nouns and verbs in your write ups! Give references for theorems or propositions you use from the text and class.
  • Consult the honor principle (below) as it applies to this course.

Grades
The course grade will be based upon participation and homework scores.
For graduate students who have advanced to candidacy, the homework is optional.

The Honor Principle

On Homework: Collaboration is permitted and encouraged, but no copying , and to be clear, this means no copying even from a board or scrap of paper on which a solution was hashed out collaboratively. What a student turns in as a homework solution is to be his or her own understanding of how to do the problems. Students must state what sources they have consulted, with whom they have collaborated, and from whom they have received help. The solutions you submit must be written by you alone. Any copying (electronic or otherwise) of another person's solutions, in whole or in part, is a violation of the Academic Honor Code.

Moreover, if in working with someone they have provided you with an important idea or approach, they should be explicitly given credit in your writeup. Hints given in office hours need not be cited. Note: It is not sufficient to annotate your paper with a phrase like ``I worked with Joe on all the problems.'' Individual ideas are to be credited at each instance; they represent intellectual property.

Accessibility Services, Religious Observances, etc.
Students with disabilities who may need disability-related academic adjustments and services for this course are encouraged to see me privately as early in the term as possible. Students requiring disability-related academic adjustments and services must consult the Student Accessibility Services office (Carson Hall, Suite 125, 646-9900). Once SAS has authorized services, students must show the originally signed SAS Services and Consent Form and/or a letter on SAS letterhead to their professor. As a first step, if students have questions about whether they qualify to receive academic adjustments and services, they should contact the SAS office. All inquiries and discussions will remain confidential.

Mental Health
The academic environment at Dartmouth is challenging, our terms are intensive, and classes are not the only demanding part of your life. There are a number of resources available to you on campus to support your wellness, including your undergraduate dean (http://www.dartmouth.edu/~upperde), Counseling and Human Development (http://www.dartmouth.edu/~chd/), and the Student Wellness Center (http://www.dartmouth.edu/~healthed/).

Religious Observances
Some students may wish to take part in religious observances that occur during this academic term. If you have a religious observance that conflicts with your participation in the course, please meet with your instructor before the end of the second week of the term to discuss appropriate accommodations.


Sexual Misconduct

At Dartmouth, we value integrity, responsibility, and respect for the rights and interests of others, all central to our Principles of Community. We are dedicated to establishing and maintaining a safe and inclusive campus where all have equal access to the educational and employment opportunities Dartmouth offers. We strive to promote an environment of sexual respect, safety, and well-being. In its policies and standards, Dartmouth demonstrates unequivocally that sexual assault, gender-based harassment, domestic violence, dating violence, and stalking are not tolerated in our community.

The Sexual Respect Website (https://sexual-respect.dartmouth.edu) at Dartmouth provides a wealth of information on your rights with regard to sexual respect and resources that are available to all in our community.

Please note that, as a faculty member, I am obligated to share disclosures regarding conduct under Title IX with Dartmouth's Title IX Coordinator. Confidential resources are also available, and include licensed medical or counseling professionals (e.g., a licensed psychologist), staff members of organizations recognized as rape crisis centers under state law (such as WISE), and ordained clergy (see https://sexual-respect.dartmouth.edu/reporting-support/all-resources/confidential-resources).

Should you have any questions, please feel free to contact Dartmouth’s Title IX Coordinator or the Deputy Title IX Coordinator for the Guarini School. Their contact information can be found on the sexual respect website at: https://sexual-respect.dartmouth.edu/reporting-support/all-resources/campus-resources.