The University District is a highly diverse area with a number of different dining options to choose from. There are two main clusters of restaurants close to the UW campus, one to the west of campus along or near University Way (known locally as "The Ave"), the other to the northeast in University Village (an open air shopping mall). Both locations are each within a 10-15 minute walk, though University Village is slightly more distant. (The hill between the University Village and the main campus is steeper than on the side of The Ave.)

Restaurants on The Ave cater to students, while University Village has a slightly more upscale atmosphere.  The food quality, however, is not much different. You should expect to spend $10 (including tax and gratuity) on lunch in University Village, and perhaps a couple of dollars less on The Ave.

A complete listing of area restaurants can be found in the University District Chamber restaurant guide.  See below for lunch recommendations from Mathematics Department faculty, grad students, and staff:

Asian Cuisine

Boom
University Village (2675 NE Village Lane)
Seattle, WA 98105
(206) 525-2675
website

Tasty pan-Asian dishes. The lunch and dinner menus are identical, with prices on the high side for lunch and on the low side for dinner.

Little Thai
4142 Brooklyn Ave NE, Ste 105
Seattle, WA  98105-6256
(206) 528-7596

A very popular Thai restaurant with diverse, fresh Thai food at very good prices. Excellent noodle dishes, lots of vegetarian options. Friendly and fast service.

Mandarin Chef
5022 University Way NE
Seattle, WA  98105-4342
(206) 528-7596

"Some of the best Chinese food in town." -Patrick Perkins, Senior Lecturer

Thai Tom
4543 University Way NE
Seattle, WA  98105-4510
(206) 548-9548

Fantastic food and entertainment (the wok master is on display!), though often crowded. A favorite of many in the department. Click here for a Seattle P.I. review.

University Teriyaki
4108 University WAY NE
Seattle, WA  98105
(206) 632-5688

Good, large meals for $5 to $6.

Indian/Middle Eastern Cuisine

Cedars Restaurant
1319 NE 43rd ST
Seattle, WA  98105-5802
(206) 632-7708

Good food at good prices in a relaxed setting.  Very popular, so expect a wait.

Jewel of India
4735 University Way NE
Seattle, WA  98105
(206) 523-5275

Mexican Cuisine

Agua Verde Café & Paddle Club
1303 NE Boat ST
Seattle, WA  98105
(206) 545-8570
website

Indoor and outdoor dining on Portage Bay, with kayak rental during the warmer months. Click here for a NW Source review.
"Excellent Mexican food, with a nice view." -Jack Lee, Professor

Chipotle
4231 University Way NE
Seattle, WA  98105
(206) 547-4644

"Yes, it's a national chain...but when it comes to flavor, Chipotle is different. The meat is high quality (the pork in the carnitas comes from natural producer Niman Ranch) and grilled or braised with care. The tiny menu offers tacos, burritos or bowls made with chicken, steak, shredded beef, pork or vegetarian (black beans and guacamole). Prices are low and the staff deals easily with special orders." -Seattle Times

Miscellaneous/American Cuisine

Ivar's Salmon House
401 NE Northlake Way
Seattle, WA  98105-6818
(206) 632-0767

Before there was Starbucks, Seattle meant Ivar's. Interior decorated with historical Native American photographs and art. Pricy and a little further away, but worth it.

Shultzy's Sausages
4114 University Way NE
Seattle, WA  98105-6214
(206) 548-9461

All kinds of great sausages, delicious fries and excellent lemonade.  A grad student favorite.  Click here for a NW Source review.

World Wrapps
2750 NE University Village
Seattle, WA  98105
(206) 522-7873
website

Great reasonably priced lunch wraps based on a variety of cuisines.  A better bet on a nice day when you can sit outside, as the interior can be quite noisy.

Pizza

Atlantic Street Pizza
5253 University Way NE
Seattle, WA  98105-3546
(206) 524-4432

Professor Jack Lee's personal favorite pizza place.  Somewhere between typical Seattle pizza and deep-dish Chicago style, with prices a little higher than an average pizza chain.  Click here for a U of W Daily review.

Delfino's Pizzeria
2675 NE University Village
Seattle, WA  98105-5006
(206) 522-3466

Chicago style deep-dish pizza, moderately priced (about $15 to feed 2 to 3 people).  Grad student Kris Kissel recommends the Stuffed Spinach.

Vegetarian

Araya Vegetarian Place
4732 University Way NE
Seattle, WA  98105
(206) 524-4332

A vegan thai restaurant that offers an 18-item lunch buffet Monday through Saturday.  Grad student Chris Quarles recommends the pumpkin curry.

Flowers Bar & Restaurant
4247 University Way NE
Seattle, WA  98105-5806
(206) 633-1903

Features a delicious vegetarian lunch buffet and a low-key atmosphere.